To solve these long division problems with decimals, we need to follow a specific process: make the divisor a whole number by moving the decimal point, then do the division as usual. We'll round the answers to 3 decimal places if needed.
Let's work through each problem one by one.
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Problem 1: 792 ÷ 0.7
Step 1: Move the decimal in the divisor (0.7) one place to the right to make it 7.
Step 2: Move the decimal in the dividend (792) one place to the right → 7920.
Step 3: Now divide 7920 ÷ 7.
7 × 1131 = 7917
7920 - 7917 = 3 → bring down 0 → 30
7 × 4 = 28 → remainder 2 → bring down 0 → 20
7 × 2 = 14 → remainder 6 → bring down 0 → 60
7 × 8 = 56 → remainder 4 → etc.
So, 7920 ÷ 7 = 1131.42857...
Rounded to 3 decimal places:
1131.429
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Problem 2: 0.35 ÷ 0.03
Step 1: Move decimal two places right in both numbers → 35 ÷ 3
Step 2: 3 × 11 = 33 → remainder 2 → bring down 0 → 20
3 × 6 = 18 → remainder 2 → repeat → 20 again → so it’s 11.666...
Rounded to 3 decimal places:
11.667
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Problem 3: 63 ÷ 0.5
Step 1: Move decimal one place right → 630 ÷ 5
Step 2: 5 × 126 = 630 → exact answer
Answer:
126.000
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Problem 4: 0.20 ÷ 0.05
Step 1: Move decimal two places right → 20 ÷ 5
Step 2: 5 × 4 = 20 → exact
Answer:
4.000
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Problem 5: 62 ÷ 0.06
Step 1: Move decimal two places right → 6200 ÷ 6
Step 2: 6 × 1033 = 6198 → remainder 2 → bring down 0 → 20
6 × 3 = 18 → remainder 2 → repeats → 1033.333...
Rounded to 3 decimal places:
1033.333
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Problem 6: 77.4 ÷ 0.03
Step 1: Move decimal two places right → 7740 ÷ 3
Step 2: 3 × 2580 = 7740 → exact
Answer:
2580.000
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Problem 7: 4.4 ÷ 0.7
Step 1: Move decimal one place right → 44 ÷ 7
Step 2: 7 × 6 = 42 → remainder 2 → bring down 0 → 20
7 × 2 = 14 → remainder 6 → bring down 0 → 60
7 × 8 = 56 → remainder 4 → bring down 0 → 40
7 × 5 = 35 → remainder 5 → so far: 6.2857...
Rounded to 3 decimal places:
6.286
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Problem 8: 5.1 ÷ 0.4
Step 1: Move decimal one place right → 51 ÷ 4
Step 2: 4 × 12 = 48 → remainder 3 → bring down 0 → 30
4 × 7 = 28 → remainder 2 → bring down 0 → 20
4 × 5 = 20 → exact → 12.75
Rounded to 3 decimal places:
12.750
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Problem 9: 50 ÷ 0.08
Step 1: Move decimal two places right → 5000 ÷ 8
Step 2: 8 × 625 = 5000 → exact
Answer:
625.000
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Final Answer:
1. 1131.429
2. 11.667
3. 126.000
4. 4.000
5. 1033.333
6. 2580.000
7. 6.286
8. 12.750
9. 625.000
Parent Tip: Review the logic above to help your child master the concept of decimal long division worksheet.
