New
New
Year 5

Divide a 2-digit by a 1-digit number using short division (with regrouping)

You can divide a 2-digit by a 1-digit number using short division (with regrouping)

New
New
Year 5

Divide a 2-digit by a 1-digit number using short division (with regrouping)

You can divide a 2-digit by a 1-digit number using short division (with regrouping)

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Lesson details

Key learning points

  1. If the tens number is not a multiple of the divisor then the remainder is recorded next to the ones digit.
  2. If there is a remainder after dividing the tens digit the tens are regrouped and the ones digit becomes a 2-digit number
  3. If the number of ones, including any regrouped tens, is a multiple of the divisor, there will be no remainder.

Common misconception

Pupils not understanding and/or recording the regrouped amount.

Continue to use language of unitisation. For example '7 tens ÷ 3 is 2 tens remainder 1 ten.' Ask what the regrouped amount represents.

Keywords

  • Regroup / regrouping - The process of unitising and exchanging between place values is known as regrouping.

Encourage pupils to think about remainders by playing odd one out based on multiples. Remind pupils that if the number of ones, including any exchanged tens, is not a multiple of the divisor, there will be a remainder.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Video

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6 Questions

Q1.
Match the division equation to the correct quotient.
Correct Answer:24 ÷ 6,4

4

Correct Answer:36 ÷ 12,3

3

Correct Answer:48 ÷ 8,6

6

Correct Answer:108 ÷ 12,9

9

Q2.
3 is the ________ because it is the number we are dividing by.
An image in a quiz
addend
product
Correct answer: divisor
sum
Q3.
Select the correct short division for this equation: 96 ÷ 3 =
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q4.
You can make groups of 3 tens from the 9 tens in the dividend.
An image in a quiz
Correct Answer: 3, Three, three
Q5.
Use short division to answer the word problem: 69 sweets are shared between 3 children. How many marbles does each child get?
Correct Answer: 23, Twenty three, Twenty-three
Q6.
The total perimeter of a square is 48 cm. What is the length of one side?
An image in a quiz
Correct Answer: 12, twelve, Twelve

6 Questions

Q1.
Order the division equations in descending order.
1 - 72 ÷ 6 =
2 - 99 ÷ 11 =
3 - 96 ÷ 12 =
4 - 42 ÷ 7 =
5 - 12 ÷ 12 =
Q2.
Look at the image. The number ___ is the quotient because that is the answer after we divide one number by another.
An image in a quiz
4
52
512
Correct answer: 13
1
Q3.
Look at the image. tens have been regrouped.
An image in a quiz
Correct Answer: 2
Q4.
Using short division, solve the division equation: 87 ÷ 3 = Write your answer in numeral form.
Correct Answer: 29
Q5.
Match the short division with the correct amount of 10s regrouped.
Correct Answer:65 ÷ 5,regroup 1 ten

regroup 1 ten

Correct Answer:75 ÷ 5,regroup 2 tens

regroup 2 tens

Correct Answer:85 ÷ 5,regroup 3 tens

regroup 3 tens

Correct Answer:95 ÷ 5,regroup 4 tens

regroup 4 tens

Q6.
Solve this problem using short division: Honey is stored in barrels that have a capacity of 5 litres. How many barrels can be filled with 90 litres of honey? Write your answer in numeral form.
Correct Answer: 18