A remainder is an amount left over after division.

The process of unitising and exchanging between place values is known as regrouping.

Divide a 2-digit by a 1-digit number using representations with exchanging and remainders

Maths

In this unit pupils will divide a 2-digit and 3-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 future unit pupils will  use their knowledge of multiplication and division to solve comparison and change problems.

In the prior unit pupils interpreted a division story with a remainder and represented it with an equation. They explained how the remainder related to the divisor. In this unit pupils will divide a 2-digit and a 3-digit number by a single-digit number using partitioning and representations and divide a 2-digit number by a single-digit number by using short division.

Division by partitioning leading to short division (2 and 3-digits by 1-digit)

Order the division expressions in ascending order.

Each child gets 4 cupcakes with 3 leftover. This can be written as 4 r 3

Each child gets 3 cupcakes with 4 leftover. This can be written as 3 r 4

Each child gets 19 cupcakes with 3 leftover. This can be written as 19 r 3

19 cupcakes are shared between 4 children. Choose the correct statement for the representation.

Match the division equation with the correct amount of regrouping.

Your divisor is 7. By partitioning the dividend of 57, identify what the remainder will be. Write your answer in numeral form.

Which division expressions have an answer of 2 r 2?

Solve the word problem using an informal method: 59 glow sticks are shared equally between 3 classes. How many glowsticks does each class get? Write your answer in numeral form.

I can make {{ }} groups of 3 ones from the dividend 36.

For the division equation: 32 ÷ 2 You have to regroup 1 ten for {{ }} ones. 

When dividing 70 by 5, how many 10s will you have to regroup for 1s?

Look at the image representing 80 ÷ 5  What value goes in the blank space?

Match the division equations to the correct instances of regrouping.

Solve the following question: 95 ÷ 5 = {{ }} Record your calculation using an informal written method.

This lesson will be removed by end of Summer Term 2025.

Divide a 2-digit by a 1-digit number using representations with exchanging and remainders

Lesson outcome

This lesson will be removed by end of Summer Term 2025.