{"id":155896,"date":"2022-03-26T01:09:19","date_gmt":"2022-03-25T19:39:19","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/partial-quotient-explanation-methods-examples-and-faqs\/"},"modified":"2023-01-02T12:47:00","modified_gmt":"2023-01-02T07:17:00","slug":"partial-quotient-explanation-methods-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/","title":{"rendered":"Partial Quotient &#8211; Explanation, Methods, Examples, and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#Definition_of_a_Quotient\" title=\"Definition of a Quotient\">Definition of a Quotient<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#Definition_of_a_Partial_Quotient\" title=\"Definition of a Partial Quotient\">Definition of a Partial Quotient<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#Using_Partial_Quotients_as_a_Division_Strategy\" title=\"Using Partial Quotients as a Division Strategy\">Using Partial Quotients as a Division Strategy<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#How_to_Divide_Using_the_Partial_Quotients_Method\" title=\"How to Divide Using the Partial Quotients Method?\">How to Divide Using the Partial Quotients Method?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#Method_of_Partial_Division\" title=\"Method of Partial Division\">Method of Partial Division<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#Divide_Decimals_with_Partial_Quotients\" title=\"Divide Decimals with Partial Quotients\">Divide Decimals with Partial Quotients<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#Partial_Quotients_for_Dividing_by_2-Digit_Numbers\" title=\"Partial Quotients for Dividing by 2-Digit Numbers\">Partial Quotients for Dividing by 2-Digit Numbers<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_a_Quotient\"><\/span>Definition of a Quotient<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A quotient is a mathematical operation that calculates the division of one number by another. The quotient is the result of this division and is expressed as a decimal number.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155895 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/partial-quotient-explanation-methods-examples-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/partial-quotient-explanation-methods-examples-and-faqs.jpg?v=1648237154 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/partial-quotient-explanation-methods-examples-and-faqs-300x212.jpg?v=1648237154 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_a_Partial_Quotient\"><\/span>Definition of a Partial Quotient<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A partial quotient is a number that is the result of dividing a number by another number and then continuing to divide the resulting number by the second number. Partial quotients are used to help divide a number into smaller parts.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Using_Partial_Quotients_as_a_Division_Strategy\"><\/span>Using Partial Quotients as a Division Strategy<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>When dividing two numbers, a person can use the partial quotients strategy to help them divide the numbers more easily. This strategy involves dividing the first number by the largest number that will fit into it evenly, and then dividing the result by the second number. This process is repeated until the second number is divided by 1, which is the result of the division.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Divide_Using_the_Partial_Quotients_Method\"><\/span>How to Divide Using the Partial Quotients Method?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To divide using the partial quotients method, divide the first number by the second number. Write down the answer and the remainder. Then divide the second number by the first number. Write down the answer and the remainder. If the remainder is zero, the division is complete. If the remainder is not zero, continue dividing the second number by the first number and writing down the answer and the remainder.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Method_of_Partial_Division\"><\/span>Method of Partial Division<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>This is a method of division in which the dividend is divided into two parts, the first of which is divided by the divisor and the second of which is divided by the remainder. If the remainder is zero, the division is complete. If the remainder is not zero, the process is repeated using the new dividend and the new remainder.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Divide_Decimals_with_Partial_Quotients\"><\/span>Divide Decimals with Partial Quotients<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To divide decimals with partial quotients, divide the first number by the second number and then divide the first number by the remainder.<\/p>\n<p>For example, to divide 9.6 by 2.4, divide 9.6 by 2 to get 4.8. Then divide 4.8 by 0.4 to get 12.<\/p>\n<p>Another example would be to divide 9.8 by 0.8. The quotient is 12 and the remainder is 0.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Partial_Quotients_for_Dividing_by_2-Digit_Numbers\"><\/span>Partial Quotients for Dividing by 2-Digit Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To divide a two-digit number by a two-digit number, use the following steps:<\/p>\n<p>1. Write the problem.<\/p>\n<p>2. Draw a line under the problem.<\/p>\n<p>3. Draw a number line.<\/p>\n<p>4. Write the dividend (the number to be divided) on the number line.<\/p>\n<p>5. Write the divisor (the number by which the dividend is being divided) on the number line.<\/p>\n<p>6. Draw a line from the dividend to the divisor.<\/p>\n<p>7. Write the quotient (the answer to the problem) below the line.<\/p>\n<p>For example, to divide 68 by 12, use the following steps:<\/p>\n<p>1. Write the problem.<\/p>\n<p>68 \u00f7 12<\/p>\n<p>2. Draw a line under the problem.<\/p>\n<p>3. Draw a number line.<\/p>\n<p>4. Write the dividend (68) on the number line.<\/p>\n<p>5. Write the divisor (12) on the number line.<\/p>\n<p>6. Draw a line from the dividend to the divisor.<\/p>\n<p>7. Write the quotient (5.666666667) below the line.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Definition of a Quotient A quotient is a mathematical operation that calculates the division of one number by another. The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Partial Quotient","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Learn about partial quotient topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online sessions.","custom_permalink":"maths\/partial-quotient\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Partial Quotient - Explanation, Methods, Examples, and FAQs<\/title>\n<meta name=\"description\" content=\"Learn about partial quotient topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online sessions.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Partial Quotient - Explanation, Methods, Examples, and FAQs\" \/>\n<meta property=\"og:description\" content=\"Learn about partial quotient topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online sessions.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-03-25T19:39:19+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-01-02T07:17:00+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/partial-quotient-explanation-methods-examples-and-faqs.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"vipin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Partial Quotient - Explanation, Methods, Examples, and FAQs","description":"Learn about partial quotient topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online sessions.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/","og_locale":"en_US","og_type":"article","og_title":"Partial Quotient - Explanation, Methods, Examples, and FAQs","og_description":"Learn about partial quotient topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online sessions.","og_url":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-03-25T19:39:19+00:00","article_modified_time":"2023-01-02T07:17:00+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/partial-quotient-explanation-methods-examples-and-faqs.jpg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/partial-quotient-explanation-methods-examples-and-faqs.jpg?v=1648237154","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/partial-quotient-explanation-methods-examples-and-faqs.jpg?v=1648237154","width":606,"height":428},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/","name":"Partial Quotient - Explanation, Methods, Examples, and FAQs","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#primaryimage"},"datePublished":"2022-03-25T19:39:19+00:00","dateModified":"2023-01-02T07:17:00+00:00","description":"Learn about partial quotient topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online sessions.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Partial Quotient &#8211; Explanation, Methods, Examples, and FAQs"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Partial Quotient &#8211; Explanation, Methods, Examples, and FAQs","datePublished":"2022-03-25T19:39:19+00:00","dateModified":"2023-01-02T07:17:00+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#webpage"},"wordCount":490,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/partial-quotient\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/partial-quotient-explanation-methods-examples-and-faqs.jpg","articleSection":["Maths"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2","name":"vipin","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","caption":"vipin"},"sameAs":["http:\/\/surge.infinitylearn.com"],"url":"https:\/\/infinitylearn.com\/surge\/author\/vipin\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/155896"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=155896"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/155896\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=155896"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=155896"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=155896"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=155896"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}