# Partial Quotients Division Method

These lessons and examples help Grade 4 students learn about the partial quotients division method.

### How To Divide Using The Partial Quotients Method?

The partial quotients method (sometimes also called chunking) uses repeated subtraction to solve simple division questions.

When dividing a large number (dividend) by a small number (divisor).

• Step 1: Subtract from the dividend an easy multiple (for example 100×, 10×, 5× 2×, etc.) of the divisor.
• Step 2: Repeat the subtraction until the large number has been reduced to zero or the remainder is less than the divisor.
• Step 3: Add up the multipliers of the divisor that were used in the repeated subtraction to find the answer of the division.

The following diagram shows how to divide using the partial quotient method. Scroll down the page for more examples and solutions.

Demonstration to help parents teach or assist in using partial quotients division at home
Example:
483 ÷ 13

Demonstration of the partial quotients division method
Examples:
185 ÷ 8
2185 ÷ 43

#### Everyday Math Partial Quotients Algorithm

Examples:
786 ÷ 5

How to divide numbers using the partial quotients algorithm?
Getting used to this method could help you mentally compute lots of real-world problems.
Examples:
78 ÷ 6
472 ÷ 4
739 ÷ 22

#### Everyday Math Partial Quotients Division Method With Whole Numbers

Example:
195 ÷ 12

Outline of partial quotients
Example:
381 ÷ 4

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.