Grade 5 Math Worksheet: Decimal long division | Worsheets library - Free Printable

Let’s solve each long division problem step by step. We’ll divide the numbers and round to 3 decimal places if needed.

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Problem 1: 792 ÷ 0.7

To make it easier, multiply both numbers by 10 to eliminate the decimal:

→ 7920 ÷ 7

Now divide:

7 × 1131 = 7917
7920 - 7917 = 3 → so we have 1131 with remainder 3

Add a decimal point and zeros: 3.000

30 ÷ 7 = 4 (since 7×4=28), remainder 2
20 ÷ 7 = 2 (7×2=14), remainder 6
60 ÷ 7 = 8 (7×8=56), remainder 4

So far: 1131.428...

Rounded to 3 decimals: 1131.429

Wait — let me double-check that calculation.

Actually, 792 ÷ 0.7 is the same as 7920 ÷ 7.

Let me do 7920 ÷ 7 properly:

7 × 1131 = 7917 → remainder 3 → bring down 0 → 30

30 ÷ 7 = 4 → 7×4=28 → remainder 2 → bring down 0 → 20

20 ÷ 7 = 2 → 7×2=14 → remainder 6 → bring down 0 → 60

60 ÷ 7 = 8 → 7×8=56 → remainder 4 → bring down 0 → 40

40 ÷ 7 = 5 → 7×5=35 → remainder 5 → etc.

So: 1131.42857...

Rounded to 3 decimals: look at 4th digit → 5 → round up → 1131.429 ✔

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Problem 2: 0.35 ÷ 0.03

Multiply numerator and denominator by 100 to eliminate decimals:

→ 35 ÷ 3

35 ÷ 3 = 11.666...

Rounded to 3 decimals: 11.667

Check: 3 × 11.666... = 35 → yes.

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Problem 3: 63 ÷ 0.5

Multiply by 10: 630 ÷ 5 = 126

No decimal needed → 126.000

But since it says “round to 3 digits if necessary”, and it’s exact, we can write 126.000 or just 126. But to be consistent, we’ll write 126.000? Actually, no need — but let’s see what the instruction says: “Round to 3 digits if necessary.” Since it’s whole number, we can leave as 126. But for consistency in format, maybe write 126.000? Hmm.

Actually, looking at other problems, they expect decimal answers even if whole. Let’s check problem 6 later. For now, 63 ÷ 0.5 = 126 → so answer is 126.000? Or just 126? The worksheet says “round to 3 digits if necessary” — so if not necessary, don’t force it. But to match format, perhaps write all with 3 decimals? Let’s see.

Actually, in math worksheets like this, if it’s exact, you can write the whole number. But to be safe, I’ll compute exactly and then decide.

63 ÷ 0.5 = 126 → so quotient is 126 → which is 126.000 if written to 3 decimals. So we’ll write 126.000

But wait — let’s confirm: 0.5 × 126 = 63 → correct.

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Problem 4: 0.20 ÷ 0.05

Multiply by 100: 20 ÷ 5 = 4 → 4.000

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Problem 5: 62 ÷ 0.06

Multiply by 100: 6200 ÷ 6

6200 ÷ 6:

6 × 1033 = 6198 → remainder 2

So 1033 + 2/6 = 1033.333...

Rounded to 3 decimals: 1033.333

Check: 0.06 × 1033.333... = 62 → yes.

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Problem 6: 77.4 ÷ 0.03

Multiply by 100: 7740 ÷ 3

7740 ÷ 3 = 2580 → because 3 × 2580 = 7740

So 2580.000

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Problem 7: 4.4 ÷ 0.7

Multiply by 10: 44 ÷ 7

44 ÷ 7 = 6.285714...

Rounded to 3 decimals: look at 4th digit → 7 → round up → 6.286

Check: 7 × 6.2857 ≈ 44 → yes.

So 6.286

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Problem 8: 5.1 ÷ 0.4

Multiply by 10: 51 ÷ 4

51 ÷ 4 = 12.75 → which is 12.750 when rounded to 3 decimals? Wait, 12.75 is exact.

But 12.75 has only two decimals. To write to 3 decimals: 12.750

Is that required? The instruction says “round to 3 digits if necessary”. Since it’s exact at 2 decimals, we can write 12.75, but to be consistent, let’s write 12.750? Actually, no — rounding to 3 digits means if there are more than 3, round; if less, pad with zero? Not necessarily. In math, 12.75 is fine, but since others have 3 decimals, perhaps write 12.750.

Wait — let’s see: 5.1 ÷ 0.4 = 51 ÷ 4 = 12.75 → so quotient is 12.75 → to 3 decimal places, it’s 12.750.

Yes, so 12.750

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Problem 9: 50 ÷ 0.08

Multiply by 100: 5000 ÷ 8

5000 ÷ 8 = 625 → because 8 × 625 = 5000

So 625.000

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Now let’s list all answers:

1. 792 ÷ 0.7 = 1131.42857... → 1131.429

2. 0.35 ÷ 0.03 = 11.666... → 11.667

3. 63 ÷ 0.5 = 126 → 126.000

4. 0.20 ÷ 0.05 = 4 → 4.000

5. 62 ÷ 0.06 = 1033.333... → 1033.333

6. 77.4 ÷ 0.03 = 2580 → 2580.000

7. 4.4 ÷ 0.7 = 6.2857... → 6.286

8. 5.1 ÷ 0.4 = 12.75 → 12.750

9. 50 ÷ 0.08 = 625 → 625.000

I think that’s all. Let me verify one more time quickly.

Problem 1: 0.7 × 1131.429 = ? 0.7 × 1131 = 791.7, 0.7 × 0.429 = about 0.3003, total ~792.0003 → close enough.

Problem 2: 0.03 × 11.667 = 0.35001 → good.

Problem 3: 0.5 × 126 = 63 → perfect.

Problem 4: 0.05 × 4 = 0.20 → good.

Problem 5: 0.06 × 1033.333 = 62 → yes.

Problem 6: 0.03 × 2580 = 77.4 → yes.

Problem 7: 0.7 × 6.286 = 4.4002 → close.

Problem 8: 0.4 × 12.75 = 5.1 → exact.

Problem 9: 0.08 × 625 = 50 → exact.

All good.

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