Let's solve each division problem using
repeated subtraction as shown in the example.
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🔹 Understanding Repeated Subtraction for Division
The idea is:
To divide $ a \div b $, we repeatedly subtract $ b $ from $ a $ until we reach 0.
The number of times we subtract $ b $ is the answer (quotient).
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✔ Problem 1: $ 6 \div 2 = ? $
We start at 6 and subtract 2 repeatedly:
- $ 6 - 2 = 4 $
- $ 4 - 2 = 2 $
- $ 2 - 2 = 0 $
We subtracted
2 three times, so:
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Answer: 3
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✔ Problem 2: $ 12 \div 3 = ? $
Start at 12, subtract 3 repeatedly:
- $ 12 - 3 = 9 $
- $ 9 - 3 = 6 $
- $ 6 - 3 = 3 $
- $ 3 - 3 = 0 $
We subtracted
3 four times, so:
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Answer: 4
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✔ Problem 3: $ 10 \div 5 = ? $
Start at 10, subtract 5:
- $ 10 - 5 = 5 $
- $ 5 - 5 = 0 $
Subtracted
5 two times, so:
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Answer: 2
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✔ Problem 4: $ 10 \div 2 = ? $
Start at 10, subtract 2:
- $ 10 - 2 = 8 $
- $ 8 - 2 = 6 $
- $ 6 - 2 = 4 $
- $ 4 - 2 = 2 $
- $ 2 - 2 = 0 $
Subtracted
2 five times, so:
>
Answer: 5
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✔ Problem 5: $ 12 \div 4 = ? $
Start at 12, subtract 4:
- $ 12 - 4 = 8 $
- $ 8 - 4 = 4 $
- $ 4 - 4 = 0 $
Subtracted
4 three times, so:
>
Answer: 3
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✔ Final Answers:
1) $ 6 \div 2 = \boxed{3} $
2) $ 12 \div 3 = \boxed{4} $
3) $ 10 \div 5 = \boxed{2} $
4) $ 10 \div 2 = \boxed{5} $
5) $ 12 \div 4 = \boxed{3} $
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You can also
visualize this on the number lines provided:
- For each problem, draw arrows from the starting number, jumping back by the divisor each time.
- Count how many jumps it takes to reach 0.
For example, in $ 6 \div 2 $, you’d jump from 6 → 4 → 2 → 0:
3 jumps.
This method helps children understand division as "how many groups of X fit into Y?" through physical steps.
✔ Done! Let me know if you'd like a visual explanation or printable version.
Parent Tip: Review the logic above to help your child master the concept of division using repeated subtraction worksheet.