A remainder is an amount left over after division.

Partition means splitting a number into parts.

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

Divide using partitioning and representations (multiple regroups and remainder)

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)

Match the division equation to the correct quotient:  

If you were to divide each number by 3, which would require regrouping?

Look at Andeep's mental strategy. Using his information fill in the gap: 557 ÷ 5 = ___

Solve the division equation 953 ÷ 8 = {{ }}  using the partitioning strategy. Write your answer in numeral form and use r if there is a remainder.

Izzy has collected 546 guinea cards. She wants to divide them equally amongst 4 of her friends. How many cards does each child get? Are there any left over?

Which of these numbers are not multiples of five?

The __________ is 5, this is the number we are dividing by.

If you divided these dividends by 8, which would require regrouping?

Your divisor is 5. Select the division equations which will result in a remainder. Use the part whole model to help you.  

Use partitioning to solve: 65 ÷ 4. Write your answer in numeral form using r if there is a remainder.

Andeep has collected 71 football cards. He wants to divide them equally amongst 3 of his friends. How many cards does each child get? Are there any left over? Write your answer in numeral form.

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

Divide using partitioning and representations (multiple regroups and remainder)

Lesson outcome

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