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Help at home · Maths

How to explain long multiplication and division to your child

Written calculations without a calculator, such as 346 × 27 or 1,728 ÷ 12, set on their own or hidden inside a word problem.

The note

How schools teach it now

Year 6 uses formal column methods: long multiplication (multiply by the ones, then by the tens with a placeholder zero, then add) and 'bus stop' short division, carrying remainders into the next digit. Long division may be set out in full or done as a bus stop with jottings.

5-minute kitchen-table activity

Use the shopping: 24 yoghurts at 37p each. Your child works out the total with long multiplication on an envelope (888p = £8.88), then checks it with an estimate: about 25 × 40p = £10.

Worked example

Work out 1,728 ÷ 12.

  1. Set it out as a bus stop: 12 outside, 1728 inside.
  2. 12 into 17 goes 1, remainder 5. Carry the 5 to make 52.
  3. 12 into 52 goes 4, remainder 4. Carry the 4 to make 48.
  4. 12 into 48 goes 4 exactly.

Answer: 144 (check: 144 × 12 = 1,728)

Common mistakes to watch for

  • Forgetting the placeholder zero when multiplying by the tens digit.
  • Losing a carried remainder in bus stop division.
  • Not estimating first, so a wildly wrong answer goes unnoticed.

Encouragement

Try saying
“Let's estimate first so we know roughly what to expect.”
Rather than
“That's not how I learnt it. Do it my way.”

Practise long multiplication and division with marked questions

Academy11+ marks every answer, shows how your child is doing in each topic and puts the right home-help note next to the ones they find hard.