Divide using short division with regrouping and remainders | Maths

Starter quiz

Order the division expressions in ascending order.
- 1
  
  ⇔
  
  9 ÷ 0
- 2
  
  ⇔
  
  9 ÷ 9
- 3
  
  ⇔
  
  9 ÷ 1
- 4
  
  ⇔
  
  99 ÷ 9
Look at the equation: 399 ÷ 3 = 133. 3 is the __________.
- product
- addend
- dividend
- divisor ✓
Write the number of tens that have been regrouped in this short division.
- '1' ✓
Use short division to solve: 864 ÷ 6 = ______ Write your answer in numeral form.
- '144' ✓
An equilateral triangle has a total perimeter of 393 cm. What is the length of one side? Write your answer in numeral form. ______ cm
- '131' ✓
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?
- '19' ✓

Look at the short division. 539 is the __________.
- divisor
- dividend ✓
- quotient
- addend
Select the statements that are true.
- 3 × 3 > 3 × 6
- 12 × 1 < 12 × 0
- 12 × 1 = 1 × 12 ✓
- 12 × 0 = 13 × 0 ✓
- 4 × 1 > 4 × 11
7 hundreds is equal to ___ tens.
- 7
- 70 ✓
- 700
Look at the short division. You can make ______ groups of 3 ones from the 24 ones in the dividend.
- '8' ✓
Select the calculation which will require two or more instances of regrouping.
- A
- B
- C ✓
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?
- '68 ' ✓

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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.
If the ones number is not a multiple of the divisor then there will be a remainder in the answer.
The partial quotients are recorded above the dividend in the correct place value columns.

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.

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.