The dividend is the whole amount to be divided into groups or divided into equal parts. It is what we are dividing.

The divisor is the number in each group or the number of equal parts that the whole is divided into or between. It is what we are dividing by.

A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.

Explain how the remainder relates to the divisor in a division equation

Maths

Represent division by grouping with multiplication and addition equations

Solve division problems involving grouping, including those with remainders

Represent division by sharing with equations

Solve division problems involving sharing, including those with remainders

Use multiplication facts to answer division questions

Identify when there will be a remainder

Use knowledge of division equations and remainders to solve problems

Decide what to do with the answer to a division calculation to solve a problem

Use knowledge of division to solve problems

In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor. In the future unit pupils will divide a 2-digit number by a single-digit number using partitioning and representations with exchanging and remainders. They will divide a 2-digit number by a single-digit number using short division .

In the prior unit pupils explained how each part of a multiplication and division equation related to a story. They partitioned one of the factors in a multiplication equation in different ways using representations. In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor.

In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor.

Division with remainders

True or false. A remainder in a division equation is always less than the divisor.

Which of these representations shows 26 ÷ 4?

Which equation does this number line represent?

Which equation represents this image correctly?

Match each division expression to the result of it. 

The remainder when 50 is divided by 9 is {{ }}

the largest multiple of 6 that is less than or equal to 56

the largest multiple of 8 that is less than or equal to 60

the largest multiple of 9 that is less than or equal to 71

Match the parts of the sentence correctly.

What is the largest multiple of 7 that is less than or equal to 44?

Look at this equation. 62 ÷ 5 = The largest multiple of 5 that is less than or equal to 62 is {{ }} 

71 sweets are divided between 9 bags. Which multiplication fact will help you to solve this problem?

Use the given multiples to find the answer to the equation.

Find the largest missing multiple to answer this equation. 90 ÷ 8 = ___

Explain how the remainder relates to the divisor in a division equation

Lesson outcome