Divide a 2-digit number using short division (with regrouping and remainders) | Maths

Starter quiz

Select the multiples of six.
- 1
- 6 ✓
- 54 ✓
- 72 ✓
- 76
The number ______ is the dividend because that is the number we are dividing. Write your answer in numeral form.
- '52' ✓
Look at the short division. ______ tens have been regrouped.
- 9
- 5
- 4 ✓
- 3
- 1
Using short division, solve the division equation: 77 ÷ 3. Write your answer in numeral form using r if you have a remainder.
- '25 r 2' ✓
Match the short division with the correct amount of 10s regrouped.
- 55 ÷ 6
  
  ⇔
  
  5 regrouped tens ✓
- 65 ÷ 6
  
  ⇔
  
  0 regroup ✓
- 75 ÷ 6
  
  ⇔
  
  1 regrouped ten ✓
- 85 ÷ 6
  
  ⇔
  
  2 regrouped tens ✓
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 76 litres of honey? Write your answer in numeral form using r.
- '15 r 1' ✓

Select the multiples of 5.
- 5 ✓
- 9
- 10 ✓
- 35 ✓
- 50 ✓
Look at the short division. Pick the statement that is incorrect.
- It means a remainder of three.
- It means there are three left over or three extra.
- It means 75 is a multiple of six. ✓
- It represents three ones.
Which of these statements is correct for this short division?
- The quotient is 14 with a remainder of 1 ✓
- The quotient is 43 with a remainder of 1
- The quotient is 41 with a remainder of 3
Use short division to calculate: 95 ÷ 6. Write your answer in numeral form using r if you have a remainder.
- '15 r 5' ✓
Use short division to calculate: 86 ÷ 6. Write your answer in numeral form using r if you have a remainder.
- '14 r 2' ✓
Use short division to solve the word problem: Andeep has 49 marbles. He wants to share them between 3 of his friends. How many marbles will each friend get?
- '16 r 1' ✓

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If the tens number is not a multiple of the divisor then the remainder is recorded next to the ones digit.
If there is a remainder after dividing the tens digit the tens are exchanged and the ones digit becomes a 2-digit number
If the number of ones, including any exchanged tens, is not a multiple of the divisor, there will be a remainder.

Working through algorithmically without having an understanding of the regrouped amount.

Clear modelling with PVC. Ask children 'What does this number represent?'. Continue to use sentence stems.

Remainder - A remainder is an amount left over after division (happens when the first number does not divide exactly by the other).
Regroup / regrouping - The process of unitising and exchanging between place values is known as regrouping.