{"id":156158,"date":"2022-03-26T01:26:48","date_gmt":"2022-03-25T19:56:48","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/long-division-definition-steps-division-types-examples-and-faqs\/"},"modified":"2022-12-22T21:37:25","modified_gmt":"2022-12-22T16:07:25","slug":"long-division-definition-steps-division-types-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/long-division\/","title":{"rendered":"Long Division &#8211; Definition, Steps, Division Types, 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\/long-division\/#What_is_Long_Division\" title=\"What is Long Division?\">What is Long Division?<\/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\/long-division\/#Define_Long_Division\" title=\"Define Long Division\">Define Long Division<\/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\/long-division\/#Long_Division_Steps\" title=\"Long Division Steps\">Long Division Steps<\/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\/long-division\/#Division_Types\" title=\"Division Types\">Division Types<\/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\/long-division\/#Long_Division_Examples\" title=\"Long Division Examples\">Long Division Examples<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Long_Division\"><\/span>What is Long Division?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Long division is a process of dividing a number by another number, using a division algorithm. The division algorithm always produces a quotient and a remainder. The quotient is the answer to the division problem, and the remainder is the amount that is left over after the division is complete.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156157 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/long-division-definition-steps-division-types-examples-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/long-division-definition-steps-division-types-examples-and-faqs.jpg?v=1648238203 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/long-division-definition-steps-division-types-examples-and-faqs-300x212.jpg?v=1648238203 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Define_Long_Division\"><\/span>Define Long Division<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Long division is a mathematical process for dividing a number by another number. The dividend (the number being divided) is divided by the divisor (the number doing the dividing) and the quotient (the result of that division) is the answer. The remainder (the leftover number) is the difference between the dividend and the quotient.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Long_Division_Steps\"><\/span>Long Division Steps<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To divide a number by another number, use long division. This is a process of dividing a number into smaller pieces until the divisor (the number you are dividing by) is reached.<\/p>\n<p>To long divide, follow these steps:<\/p>\n<p>1. Write the dividend (the number you are dividing) on the left side of a line.<\/p>\n<p>2. Write the divisor (the number you are dividing by) on the right side of the line.<\/p>\n<p>3. Draw a line under the divisor.<\/p>\n<p>4. Write the first number in the division problem (the number over the line) below the line.<\/p>\n<p>5. Draw a line under the first number.<\/p>\n<p>6. Write the second number in the division problem (the number under the line) to the right of the line.<\/p>\n<p>7. Write the division symbol (\/) below the line.<\/p>\n<p>8. Repeat these steps until the division problem is solved.<\/p>\n<p>Here is an example of how to long divide:<\/p>\n<p>To divide 9 by 3, follow these steps:<\/p>\n<p>1. Write 9 on the left side of the line.<\/p>\n<p>2. Write 3 on the right side of the line.<\/p>\n<p>3. Draw a line under the 3.<\/p>\n<p>4. Write the first number in the division problem (9) below the line.<\/p>\n<p>5. Draw a line under the 9.<\/p>\n<p>6. Write the second<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Division_Types\"><\/span>Division Types<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are six types of division:<\/p>\n<p>integer division<\/p>\n<p>floating-point division<\/p>\n<p>rational division<\/p>\n<p>decimal division<\/p>\n<p>binary division<\/p>\n<p>hexadecimal division<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Long_Division_Examples\"><\/span>Long Division Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>We can use long division to divide any two numbers, including decimals.<\/p>\n<p>Example 1:<\/p>\n<p>divide 5.678 by 2.<\/p>\n<p>We start by drawing a division line under the 5.678. We then divide the 5.678 by 2, and write the result, 2.839, below the division line. We then carryover the 0 from the 5.678 to the 2.839, and write the 3 below the division line. We then subtract the 2.839 from the 5.678, and write the result, 2.839, above the division line. We then write the 1 below the division line.<\/p>\n<p>5.678 2.839 _________ 2.839<\/p>\n<p>We then write the 0 below the division line.<\/p>\n<p>5.678 2.839 _________ 2.839<\/p>\n<p>0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is Long Division? Long division is a process of dividing a number by another number, using a division algorithm. [&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":"Long Division - Definition, Steps, Division Types, Examples, and FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about long division topic of maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/long-division\/"},"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>Long Division - Definition, Steps, Division Types, Examples, and FAQs - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about long division topic of maths in details explained by subject experts on infinitylearn.com.\" \/>\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\/long-division\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Long Division - 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