A remainder is an amount left over after division (it happens when the dividend does not divide exactly by the divisor).

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

Divide using short division with regrouping 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)

Look at the short division. 539 is the __________. 

Look at the short division. You can make {{ }} groups of 3 ones from the 24 ones in the dividend.

Select the calculation which will require two or more instances of regrouping.

Use short division to solve this problem: Izzy is packing 271 t-shirts to sell at a funfair. She packs them equally into 4 large boxes. How many T-shirts will be in each box? 

Order the division expressions in ascending order.

Look at the equation: 399 ÷ 3 = 133.    3 is the __________. 

Write the number of tens that have been regrouped in this short division.

Use short division to solve: 864 ÷ 6 = {{ }} Write your answer in numeral form.   

An equilateral triangle has a total perimeter of 393 cm. What is the length of one side? Write your answer in numeral form. {{ }} cm

Solve this equation using short division: Oil is stored in barrels that have a capacity of 5 litres. How many barrels can be filled with 96 litres of oil?

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

Divide using short division with regrouping and remainders

Lesson outcome

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