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.

Identify when there will be a remainder

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

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

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

if the dividend is a multiple of the divisor.

if the dividend is not a multiple of the divisor. 

1. Match the parts of the sentence correctly.

Which of the following will not have a remainder?

42 balls are sorted into 8 buckets for sports day. Are there any balls left over?

Which of these numbers will have a remainder when the divisor is 7?

We know that multiples of 3 have a digit sum that is divisible by 3      Which of these numbers will have a remainder when divided by 3?

Multiples of 9 have a digit sum that is divisible by 9     Which of these numbers will have a remainder when divided by 9?

1. A remainder in a division equation is always __________  the divisor.

Which of these representations shows 23 ÷ 5?

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 70 is divided by 12 is {{ }}

Starter Quiz

1. A remainder in a division equation is always __________ the divisor.