Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we don't know how many equal groups there are.

Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part.

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

Use multiplication facts to answer division questions

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

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

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

the largest multiple of 7 that is less than or equal to 58

the largest multiple of 5 that is less than or equal to 28

the largest multiple of 10 that is less than or equal to 82

Match the parts of the sentence correctly.

What is the largest multiple of 6 that is less than or equal to 32?

Look at this equation. 45 ÷ 7 = ___ The largest multiple of 7 that is less than or equal to 45 is {{ }} 

45 sweets are divided between 8 bags. There are ___ sweets in each bag. Which multiplication fact will help you to solve this problem?

Using the given multiples of 12, solve the equation.

Match the multiplication expressions to the correct products.

Match the division expressions to the correct quotient.

Which bar model represents this problem? Sofia has 60 biscuits and she divides them between 5 bags.

Alex divides 49 eggs into 7 boxes. There are {{ }} eggs in each box.

What is the remainder when 67 sweets are divided between 9 packets? {{ }} sweets

Alex divides 40 pencils equally between 6 pots. How many pencils are in each pot?

Starter Quiz

Match the multiplication expressions to the correct products.