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division

Chunking division method

Use repeated subtraction of known chunks to divide larger numbers.

Quick answer

Chunking division is a way to divide large numbers by subtracting known, easy chunks of the divisor from the dividend, repeating this until you can’t subtract anymore. It's like breaking a big job into smaller, manageable parts.

Learning outcome

By the end of this page, you will be able to use the chunking method to divide larger numbers by subtracting easy parts of the divisor again and again. Success signs:
  • You can subtract multiples of the divisor from a big number
  • You can keep track of how many times you subtracted
  • You can find the remainder when dividing
  • You can use this method to solve division problems with bigger numbers

Why this matters

Chunking division helps you understand what division really means. It's not just about memorising facts or using a calculator. It's about breaking down a big problem into smaller, easier steps. This method is helpful when you're dividing by larger numbers, like 12 or 15, where the times tables get trickier. It's also used in real life, like when you're sharing a big pile of sweets or splitting a bill with friends.

How it works

Here's how to do chunking division step by step:
  1. Start with your big number (the dividend)
  2. Think of a multiple of the divisor that’s easy to subtract
  3. Subtract that multiple from the dividend
  4. Count how many times you subtracted
  5. Repeat this with the new number until you can’t subtract anymore
  6. What’s left is your remainder

Examples you can see

Let's try 63 ÷ 7 using chunking: Step 1: Start with 63 Step 2: Think of a multiple of 7 that’s easy to subtract. Let's try 7 × 10 = 70. But 70 is bigger than 63, so that won’t work. Step 3: Try 7 × 5 = 35. That’s smaller than 63, so we can subtract it. 63 - 35 = 28 Step 4: We subtracted 5 lots of 7. Step 5: Now we repeat with 28. Try 7 × 4 = 28. 28 - 28 = 0 Step 6: We subtracted 4 lots of 7. Step 7: Total subtracted: 5 + 4 = 9 So, 63 ÷ 7 = 9 Let’s try another example: 84 ÷ 6 Step 1: Start with 84 Step 2: Try 6 × 10 = 60. 84 - 60 = 24 Step 3: We subtracted 10 lots of 6. Step 4: Now work with 24. Try 6 × 4 = 24. 24 - 24 = 0 Step 5: We subtracted 4 lots of 6. Step 6: Total subtracted: 10 + 4 = 14 So, 84 ÷ 6 = 14

Try it as a mini adventure

Imagine you're planning a big party and you have 96 party balloons. You want to give each table 8 balloons. How many tables can you decorate? Step 1: Start with 96 balloons Step 2: Think of how many 8s you can take away easily. Try 8 × 10 = 80 96 - 80 = 16 Step 3: That’s 10 tables done. Step 4: Now you have 16 balloons left. Try 8 × 2 = 16 16 - 16 = 0 Step 5: That’s 2 more tables. Step 6: Total tables: 10 + 2 = 12 So, you can decorate 12 tables with 8 balloons each.

Common mistakes

  • Mistake: Subtracting a number that’s too big from the dividend.
    Why it happens: Not thinking about how much to subtract.
    Fix: Always check if your multiple is smaller than what’s left.
  • Mistake: Forgetting to count how many times you subtracted.
    Why it happens: Not keeping track of steps.
    Fix: Use a tally or write down each subtraction to count.
  • Mistake: Thinking the remainder is the answer.
    Why it happens: Not understanding what the remainder means.
    Fix: Remember the remainder is what’s left after all possible subtractions.

Parent and carer guide

Chunking division can be tricky at first, but it's a powerful way to understand division. Here’s how to help your child:
  • Start with small numbers and simple multiples like 5s or 10s
  • Use physical objects like counters or blocks to show subtraction
  • Encourage your child to write down each step
  • Practice with real-life examples like sharing snacks or dividing toys
  • Don’t worry if they make mistakes – that’s part of learning!

Practice questions

  1. 90 ÷ 9 = ?
  2. 72 ÷ 8 = ?
  3. 105 ÷ 7 = ?
  4. 64 ÷ 4 = ?
  5. 88 ÷ 11 = ?
Answers:
  1. 90 ÷ 9 = 10
  2. 72 ÷ 8 = 9
  3. 105 ÷ 7 = 15
  4. 64 ÷ 4 = 16
  5. 88 ÷ 11 = 8

FAQ

What is chunking division?

Chunking division is a method of dividing large numbers by subtracting easy multiples of the divisor from the dividend repeatedly until you can't subtract anymore.

Why is it called chunking?

It's called chunking because you break the big division problem into smaller chunks that are easier to handle.

When should I use chunking division?

You can use chunking when dividing by larger numbers where times tables are harder to recall, or when you want to understand how division works step by step.

Is chunking division the same as long division?

No, chunking is a different method. Long division uses a more formal written layout, while chunking is more visual and based on repeated subtraction.

Can I use chunking for all division problems?

Yes, you can use chunking for any division problem, but it might be slower than other methods for simple divisions like 12 ÷ 3.