Division with Decimals Worksheets - K12 Math Worksheets - Free Printable

Let’s solve each problem step by step. We’re dividing decimals, so we’ll move the decimal point in both numbers to make the divisor a whole number — then divide as usual.

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1) 5.71 ÷ 0.60

Move decimal 2 places right:
→ 571 ÷ 60 = 9.516... → Round to 3 decimal places? Let’s keep it precise for now.

Actually, let’s do exact division:

60 × 9 = 540 → 571 - 540 = 31 → bring down 0 → 310
60 × 5 = 300 → 310 - 300 = 10 → bring down 0 → 100
60 × 1 = 60 → 100 - 60 = 40 → bring down 0 → 400
60 × 6 = 360 → 400 - 360 = 40 → repeats

So: 9.5166... ≈ 9.517 (rounded to 3 decimals)

But since original numbers have up to 2 decimals, maybe answer with 2 or 3 decimals is fine. Let’s check all problems similarly and round reasonably.

Wait — better approach: use calculator-style precision but show steps clearly.

Actually, for school work, often they expect you to adjust decimals first.

Let me redo this properly for each one.

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We’ll convert each division so the divisor becomes a whole number by multiplying numerator and denominator by 10, 100, etc.

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1) 5.71 ÷ 0.60

Multiply both by 100 → 571 ÷ 60

60 × 9 = 540 → remainder 31
31.0 → 60 goes into 310 five times (300), remainder 10
10.0 → 60 goes into 100 once (60), remainder 40
40.0 → 60 goes into 400 six times (360), remainder 40 → repeating

So: 9.5166... → 9.517 (if rounding to 3 decimals)

But let’s see what’s expected. Maybe just compute accurately.

Alternatively, use long division carefully.

I think for consistency, I’ll calculate each to 3 decimal places unless it terminates.

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Let me go one by one with clear steps.

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Problem 1: 5.71 ÷ 0.60

Step 1: Move decimal 2 places → 571 ÷ 60

Long division:

60 ) 571.000

60 × 9 = 540 → subtract → 31.0
Bring down 0 → 310
60 × 5 = 300 → subtract → 10.0
Bring down 0 → 100
60 × 1 = 60 → subtract → 40.0
Bring down 0 → 400
60 × 6 = 360 → subtract → 40.0 → repeat

So quotient: 9.5166... → 9.517 (rounded to 3 decimals)

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Problem 2: 15.8 ÷ 0.44

Move decimal 2 places → 1580 ÷ 44

44 × 35 = 1540 → 1580 - 1540 = 40
Bring down 0 → 400
44 × 9 = 396 → remainder 4
Bring down 0 → 40 → same as before → repeats

So: 35.9090... → 35.909

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Problem 3: 6.13 ÷ 0.76

Move decimal 2 places → 613 ÷ 76

76 × 8 = 608 → remainder 5
5.0 → 50 → 76 doesn’t go → 0
500 → 76 × 6 = 456 → remainder 44
440 → 76 × 5 = 380 → remainder 60
600 → 76 × 7 = 532 → remainder 68
680 → 76 × 8 = 608 → remainder 72 → getting messy

Better: 613 ÷ 76

Calculate: 76 × 8.065 = ?

Or use division:

76 ) 613.000

76 × 8 = 608 → subtract → 5.000
Bring down 0 → 50 → too small → write 0 after decimal → 500
76 × 6 = 456 → subtract → 44
Bring down 0 → 440
76 × 5 = 380 → subtract → 60
Bring down 0 → 600
76 × 7 = 532 → subtract → 68
Bring down 0 → 680
76 × 8 = 608 → subtract → 72

So far: 8.06578... → approximately 8.066

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This is taking too long manually. Since this is for a student, perhaps we can use direct calculation with care.

Actually, let me use a more efficient method: for each, multiply numerator and denominator to eliminate decimals, then divide.

And round to 3 decimal places if needed.

Let me list all answers calculated precisely:

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After careful calculation (using standard division or calculator verification):

1) 5.71 ÷ 0.60 = 9.5167 → 9.517

2) 15.8 ÷ 0.44 = 35.9091 → 35.909

3) 6.13 ÷ 0.76 = 8.0658 → 8.066

4) 7.73 ÷ 3.0 = 2.5767 → 2.577

5) 0.66 ÷ 0.48 = 1.375

6) 29.7 ÷ 0.29 = 102.4138 → 102.414

7) 68.2 ÷ 4.9 = 13.9184 → 13.918

8) 8.04 ÷ 9.0 = 0.8933 → 0.893

9) 5.76 ÷ 3.2 = 1.8

10) 38.1 ÷ 0.62 = 61.4516 → 61.452

11) 76.7 ÷ 0.04 = 1917.5

12) 0.83 ÷ 1.1 = 0.7545 → 0.755

13) 97.9 ÷ 0.51 = 191.9608 → 191.961

14) 46.3 ÷ 0.91 = 50.8791 → 50.879

15) 95.5 ÷ 0.28 = 341.0714 → 341.071

16) 37.7 ÷ 0.80 = 47.125

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Let me verify a few key ones quickly:

- #5: 0.66 ÷ 0.48 = 66/48 = 11/8 = 1.375 ✔

- #9: 5.76 ÷ 3.2 = 576 ÷ 320 = 1.8 ✔

- #11: 76.7 ÷ 0.04 = 7670 ÷ 4 = 1917.5 ✔

- #16: 37.7 ÷ 0.8 = 377 ÷ 8 = 47.125 ✔

Others are approximated to 3 decimals where needed.

Now, compiling final answers rounded appropriately.

For consistency, I'll present each answer to 3 decimal places unless it's exact.

Final Answers:

1) 9.517
2) 35.909
3) 8.066
4) 2.577
5) 1.375
6) 102.414
7) 13.918
8) 0.893
9) 1.800 (or 1.8)
10) 61.452
11) 1917.500 (or 1917.5)
12) 0.755
13) 191.961
14) 50.879
15) 341.071
16) 47.125

Since some are exact, we can leave them as is.

In school contexts, sometimes they want exact values or specific rounding. But since not specified, 3 decimals is safe.

Let me double-check #4: 7.73 ÷ 3.0

7.73 ÷ 3 = 2.57666... → yes, 2.577

#8: 8.04 ÷ 9 = 0.89333... → 0.893

#12: 0.83 ÷ 1.1 = 83 ÷ 110 = 0.754545... → 0.755

All good.

Final Answer:
1) 9.517
2) 35.909
3) 8.066
4) 2.577
5) 1.375
6) 102.414
7) 13.918
8) 0.893
9) 1.8
10) 61.452
11) 1917.5
12) 0.755
13) 191.961
14) 50.879
15) 341.071
16) 47.125