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New
Divide a 3-digit number using partitioning and representations (one regroup)
I can divide a 3-digit by a 1-digit number using partitioning and representations (one regroup).
Lesson 8 of 15
New
New
- Year 5
Divide a 3-digit number using partitioning and representations (one regroup)
I can divide a 3-digit by a 1-digit number using partitioning and representations (one regroup).
Lesson details
Key learning points
- If the hundreds number is not a multiple of the divisor then the remainder is regrouped for tens.
- If the tens number is not a multiple of the divisor then the remainder is regrouped for ones.
- Place value resources can represent the division and the regrouping.
Keywords
Remainder - A remainder is an amount left over after division.
Partitioning - Partition means splitting a number into parts.
Regroup / regrouping - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Pupils may not regroup correctly.
Encourage children to identify what each digit in the dividend represents. Ask, 'Is this digit a multiple of the divisor?'
Provide children with warm up games based on finding multiples or partitioning a 3-digit number into 100s 10s and 1s. Later, the focus would be to select the most helpful partitioning for each division question by finding the largest multiple.
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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Prior knowledge starter quiz
6 Questions
Q1.Identify the multiples of 8.
Identify the multiples of 8.
95
17
Q2.Izzy is working out: 484 ÷ 4. She can skip count in s.
Izzy is working out: 484 ÷ 4. She can skip count in s.
8
6
Q3.20 tens divided by 5 is tens.
20 tens divided by 5 is tens.
Q4.If you are dividing each number by 7, which will require regrouping?
If you are dividing each number by 7, which will require regrouping?
70
77
Q5.Use the partitioning strategy to solve: 54 ÷ 3. Write your answer in numeral form.
Use the partitioning strategy to solve: 54 ÷ 3. Write your answer in numeral form.
Q6.Use partitioning to solve the word problem : 84 pencils are divided equally between 3 classes. How many pencils does each class get? Write your answer in numeral form.
Use partitioning to solve the word problem : 84 pencils are divided equally between 3 classes. How many pencils does each class get? Write your answer in numeral form.
Assessment exit quiz
6 Questions
Q1.Which of these numbers is not exactly divisible by 2?
Which of these numbers is not exactly divisible by 2?
22
30
98
148
Q2.The __________ is 955, this is the amount we are dividing up.
The __________ is 955, this is the amount we are dividing up.
divisor
quotient
Q3.If the divisor is 6, which of the numbers will require regrouping?
If the divisor is 6, which of the numbers will require regrouping?
600
Q4.Select the division equations that will require regrouping from hundreds to tens.
Select the division equations that will require regrouping from hundreds to tens.
849 ÷ 4
423 ÷ 4
Q5.Use partitioning to solve: 648 ÷ 4. Write your answer in numeral form.
Use partitioning to solve: 648 ÷ 4. Write your answer in numeral form.
Q6.A large box of crayons contains six smaller packs. If the total mass of the large box is 846g. What is the mass of each smaller pack? Write your answer in numeral form.
A large box of crayons contains six smaller packs. If the total mass of the large box is 846g. What is the mass of each smaller pack? Write your answer in numeral form.
