New
New
Year 5
Divide a 2-digit number using short division (with regrouping and remainders)
I can divide a 2-digit by a 1-digit number using short division (with regrouping and remainders).
New
New
Year 5
Divide a 2-digit number using short division (with regrouping and remainders)
I can divide a 2-digit by a 1-digit number using short division (with regrouping and remainders).
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Lesson details
Key learning points
- If the tens number is not a multiple of the divisor then the remainder is recorded next to the ones digit.
- If there is a remainder after dividing the tens digit the tens are exchanged and the ones digit becomes a 2-digit number
- If the number of ones, including any exchanged tens, is not a multiple of the divisor, there will be a remainder.
Keywords
Remainder - A remainder is an amount left over after division (happens when the first number does not divide exactly by the other).
Regroup / regrouping - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Working through algorithmically without having an understanding of the regrouped amount.
Clear modelling with PVC. Ask children 'What does this number represent?'. Continue to use sentence stems.
At this stage it is important to highlight that if the ones is not a multiple of the divisor, there will be a remainder. Encourage children to think about whether short division is the most efficient strategy compared to mental strategies.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on
Open Government Licence version 3.0
except where otherwise stated. See Oak's terms & conditions (Collection 2).Starter quiz
Download starter quiz
6 Questions
Q1.
Select the multiples of six.
1
76
Q2.
The number is the dividend because that is the number we are dividing. Write your answer in numeral form.

Q3.
Look at the short division. tens have been regrouped.

9
5
3
1
Q4.
Using short division, solve the division equation: 77 ÷ 3. Write your answer in numeral form using r if you have a remainder.
Q5.
Match the short division with the correct amount of 10s regrouped.
5 regrouped tens
0 regroup
1 regrouped ten
2 regrouped tens
Q6.
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 76 litres of honey? Write your answer in numeral form using r.
Exit quiz
Download exit quiz
6 Questions
Q1.
Select the multiples of 5.
9
Q2.
Look at the short division. Pick the statement that is incorrect.

It means a remainder of three.
It means there are three left over or three extra.
It represents three ones.
Q3.
Which of these statements is correct for this short division?

The quotient is 43 with a remainder of 1
The quotient is 41 with a remainder of 3
Q4.
Use short division to calculate: 95 ÷ 6. Write your answer in numeral form using r if you have a remainder.
Q5.
Use short division to calculate: 86 ÷ 6. Write your answer in numeral form using r if you have a remainder.
Q6.
Use short division to solve the word problem: Andeep has 49 marbles. He wants to share them between 3 of his friends. How many marbles will each friend get?