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Worksheets for Partial Quotients Method

More Lessons for Grade 4

More Lessons and Worksheets for Common Core Grade 4

Math Worksheets

Videos, stories, and solutions to help Grade 4 students learn about the partial quotients division method.

**How to divide using the Partial Quotients Method?**

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**

Example:

185 ÷ 8

2185 ÷ 43

**Everyday Math Partial Quotients Algorithm**

Example:

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

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

Worksheets for Partial Quotients Method

More Lessons for Grade 4

More Lessons and Worksheets for Common Core Grade 4

Math Worksheets

Videos, stories, and solutions to help Grade 4 students learn about the partial quotients division 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.

Example:

483 ÷ 13

Example:

185 ÷ 8

2185 ÷ 43

Example:

786 ÷ 5

Getting used to this method could help you mentally compute lots of real-world problems.

Examples:

78 ÷ 6

472 ÷ 4

739 ÷ 22

Example:

195 ÷ 12

Example:

381 ÷ 4

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other 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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