New
New
Year 5

Divide using short division with regrouping and remainders

I can divide using short division with regrouping and remainders.

New
New
Year 5

Divide using short division with regrouping and remainders

I can divide using short division with regrouping and remainders.

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Lesson details

Key learning points

  1. If the hundreds number is not a multiple of the divisor then the remainder is regrouped for tens.
  2. If the tens number is not a multiple of the divisor then the remainder is regrouped for ones.
  3. If the ones number is not a multiple of the divisor then there will be a remainder in the answer.
  4. The partial quotients are recorded above the dividend in the correct place value columns.

Common misconception

Pupils not understanding why they may have to regroup or what the regrouped amount represents.

Ask pupils 'What does this digit represent?' draw attention to place value and use continue to use language of unitisation.

Keywords

  • Remainder - A remainder is an amount left over after division (it happens when the dividend does not divide exactly by the divisor).

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

Showing pupils a side by side comparison between concrete and abstract method of short division will help to illustrate regrouping.
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.
Order the division expressions in ascending order.
1 - 9 ÷ 0
2 - 9 ÷ 9
3 - 9 ÷ 1
4 - 99 ÷ 9
Q2.
Look at the equation: 399 ÷ 3 = 133. 3 is the __________.
product
addend
dividend
Correct answer: divisor
Q3.
Write the number of tens that have been regrouped in this short division.
An image in a quiz
Correct Answer: 1
Q4.
Use short division to solve: 864 ÷ 6 = Write your answer in numeral form.
Correct Answer: 144
Q5.
An equilateral triangle has a total perimeter of 393 cm. What is the length of one side? Write your answer in numeral form. cm
An image in a quiz
Correct Answer: 131
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 96 litres of oil?
Correct Answer: 19, 19r 1, 19 r1 , 19r1

6 Questions

Q1.
Look at the short division. 539 is the __________.
An image in a quiz
divisor
Correct answer: dividend
quotient
addend
Q2.
Select the statements that are true.
3 × 3 > 3 × 6
12 × 1 < 12 × 0
Correct answer: 12 × 1 = 1 × 12
Correct answer: 12 × 0 = 13 × 0
4 × 1 > 4 × 11
Q3.
7 hundreds is equal to ___ tens.
7
Correct answer: 70
700
Q4.
Look at the short division. You can make groups of 3 ones from the 24 ones in the dividend.
An image in a quiz
Correct Answer: 8
Q5.
Select the calculation which will require two or more instances of regrouping.
An image in a quiz
A
B
Correct answer: C
Q6.
Use short division to solve this problem: Izzy is packing 271 t-shirts to sell at a funfair. She packs them equally into 4 large boxes. How many T-shirts will be in each box?
Correct Answer: 68 , 68 r 3, 68r3, 68r 3, 68 r3