Partial Quotients Division Method

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

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Long Division
Lessons and Worksheets for Common Core Grade 4 Math
Lessons for Grade 4 Math

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.
Partial Quotients Division

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

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

Everyday Math Partial Quotients Algorithm

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.
78 ÷ 6
472 ÷ 4
739 ÷ 22

Everyday Math Partial Quotients Division Method With Whole Numbers

195 ÷ 12

Outline of partial quotients
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.
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