New
New
Year 5
Divide a 2-digit by a 1-digit number using representations with exchanging and remainders
You can divide a 2-digit by a 1-digit number using representations with exchanging and remainders
New
New
Year 5
Divide a 2-digit by a 1-digit number using representations with exchanging and remainders
You can divide a 2-digit by a 1-digit number using representations with exchanging and remainders
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Lesson details
Key learning points
- Partitioning the dividend into tens and ones helps when dividing a 2-digit by a 1-digit number.
- If the dividend is not a multiple of the divisor, there will be a remainder.
- If the remainder is a number of tens, you can exchange the tens for ones and continue to divide.
- If the number of ones is not a multiple of the divisor, there will be a remainder as part of the quotient.
Keywords
Remainder - A remainder is an amount left over after division.
Regroup / regrouping - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Pupils may forget to record the remainder.
Remind children that if the ones are not divisible there will be a remainder and that this is expressed as 'r'.
When considering a division equation which consists of a quotient with a remainder, ask children if they were ever in a situation where they had to share and there was something left over.
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).Lesson video
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Starter quiz
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6 Questions
Q1.
I can make groups of 3 ones from the dividend 36.
11
13
14
Q2.
For the division equation: 32 ÷ 2 You have to regroup 1 ten for ones.
Q3.
When dividing 70 by 5, how many 10s will you have to regroup for 1s?
1 ten for 10 ones.
3 tens for 30 ones.
Q4.
Look at the image representing 80 ÷ 5 What value goes in the blank space?
Q5.
Match the division equations to the correct instances of regrouping.
0 regroup
regroup 1 ten
0 regroup
regroup 2 tens
Q6.
Solve the following question: 95 ÷ 5 = Record your calculation using an informal written method.
Exit quiz
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6 Questions
Q1.
Order the division expressions in ascending order.
Q2.
19 cupcakes are shared between 4 children. Choose the correct statement for the representation.
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
Q3.
Match the division equation with the correct amount of regrouping.
0 regroup
regroup 1 ten
regroup 2 tens
regroup 3 tens
Q4.
Your divisor is 7. By partitioning the dividend of 57, identify what the remainder will be. Write your answer in numeral form.
Q5.
Which division expressions have an answer of 2 r 2?
a
c
d
Q6.
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.