Table of Contents
Definition of a Quotient
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.
Definition of a Partial Quotient
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.
Using Partial Quotients as a Division Strategy
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.
How to Divide Using the Partial Quotients Method?
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.
Method of Partial Division
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.
Divide Decimals with Partial Quotients
To divide decimals with partial quotients, divide the first number by the second number and then divide the first number by the remainder.
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.
Another example would be to divide 9.8 by 0.8. The quotient is 12 and the remainder is 0.
Partial Quotients for Dividing by 2-Digit Numbers
To divide a two-digit number by a two-digit number, use the following steps:
1. Write the problem.
2. Draw a line under the problem.
3. Draw a number line.
4. Write the dividend (the number to be divided) on the number line.
5. Write the divisor (the number by which the dividend is being divided) on the number line.
6. Draw a line from the dividend to the divisor.
7. Write the quotient (the answer to the problem) below the line.
For example, to divide 68 by 12, use the following steps:
1. Write the problem.
68 ÷ 12
2. Draw a line under the problem.
3. Draw a number line.
4. Write the dividend (68) on the number line.
5. Write the divisor (12) on the number line.
6. Draw a line from the dividend to the divisor.
7. Write the quotient (5.666666667) below the line.
