Videos, worksheets, games and activities to help Grade 3 students understand division.

When one number is divided by another, the number being divided is the dividend. The other number is the divisor. The result is the quotient.

It is important to understand the three meanings of division:

1. Division as Equal Sharing

2. Division as Equal Grouping

3. Division as Repeated Subtraction

### Division as Equal Sharing

This video shows division as equal sharing.
Division by Sharing.

### Division as Equal Grouping

Understanding Division by Dividing into Groups.

### Division as Repeated Subtraction

Division = Repeated Subtraction

This video shows you that division is repeated subtraction and that you can use subtraction to get answers to division problems.

How to divide by using repeated subtraction on an empty number line.
Division is repeated subtraction.

### Relate Multiplication and Division

Multiplication and division “undo” each other. They are inverse operations.

For example, if

3 × 2 = 6 then 6 ÷ 3 = 2.

Relating Multiplication & Division.
Relating Multiplication and Division.

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.

This lesson will help you develop an understanding of division by:

• representing and explaining division using equal sharing

• representing and explaining division using equal grouping

• relating division to repeated subtraction

• relating division to multiplication.

When one number is divided by another, the number being divided is the dividend. The other number is the divisor. The result is the quotient.

It is important to understand the three meanings of division:

1. Division as Equal Sharing

2. Division as Equal Grouping

3. Division as Repeated Subtraction

In the sharing situation, some known quantity (amount) is shared equally among a known number of entities (people, boxes, packages, etc.). What is not known in a sharing situation is the amount of the given quantity per share. The quotient in this situation represents the amount per share, the size of each share or the unit rate.

This video shows division as equal sharing.

In a grouping situation, the unknown is the number of groups of a given size that can be made from a given quantity (amount). The quotient in this situation tells how many groups

of the specified size can be made from the given quantity

This video shows division by grouping.

To divide using repeated subtraction, subtract equal groups from the total until you reach 0. Division is a shortcut for repeated subtraction.

Division = Repeated Subtraction

This video shows you that division is repeated subtraction and that you can use subtraction to get answers to division problems.

How to divide by using repeated subtraction on an empty number line.

For example, if

3 × 2 = 6 then 6 ÷ 3 = 2.

Relating Multiplication & Division.

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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