Division with Decimals Worksheets - K12 Math Worksheets - Free Printable

To solve these division problems with decimals, we follow a simple rule: move the decimal point in both the divisor (the number outside) and the dividend (the number inside) to the right until the divisor becomes a whole number. Then divide as usual.

Let’s go step by step for each problem:

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1) 5.71 ÷ 0.60

Move decimal 2 places right → 571 ÷ 60
60 × 9 = 540 → remainder 31 → 9.516... ≈ 9.52

Wait — let’s do it properly:

Actually, 0.60 has two decimal places → move both numbers 2 places right:
5.71 → 571
0.60 → 60
So 571 ÷ 60 = ?

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

So 9.5166... → round to nearest hundredth? The worksheet doesn’t specify, but since inputs have 2–3 digits, likely expect 2 decimal places.

But let’s check exact value: 5.71 / 0.60 = 571/60 = 9.51666... → 9.52 if rounded.

But maybe they want exact quotient? Let’s see other problems.

Actually, looking at the problems, many will not be whole numbers. We’ll compute accurately and round to 2 decimal places unless otherwise obvious.

But wait — perhaps we should just compute exactly as per long division.

Alternatively, use calculator-style thinking:

Let me recalculate all carefully.

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I’ll compute each one using the method: multiply numerator and denominator by 100 (or appropriate power) to make divisor whole, then divide.

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1) 5.71 ÷ 0.60

Multiply both by 100: 571 ÷ 60 = 9.5166... → 9.52

2) 15.8 ÷ 0.44

Multiply by 100: 1580 ÷ 44

44 × 35 = 1540 → 1580 - 1540 = 40 → 40/44 = 0.909... → 35.909... → 35.91

3) 6.13 ÷ 0.76

×100: 613 ÷ 76

76 × 8 = 608 → remainder 5 → 5/76 ≈ 0.0658 → 8.07

4) 7.73 ÷ 3.0

×10: 77.3 ÷ 30

30 × 2 = 60 → 17.3 → 30 × 0.5 = 15 → 2.3 → 30 × 0.07 = 2.1 → 0.2 → so 2.576... → 2.58

5) 0.66 ÷ 0.48

×100: 66 ÷ 48 = 1.375 → 1.38 (rounded)

6) 29.7 ÷ 0.29

×100: 2970 ÷ 29

29 × 100 = 2900 → 70 → 29×2=58 → 12 → so 102 + 12/29 ≈ 102.413 → 102.41

7) 68.2 ÷ 4.9

×10: 682 ÷ 49

49 × 13 = 637 → 682-637=45 → 45/49≈0.918 → 13.92

8) 8.04 ÷ 9.0

×10: 80.4 ÷ 90 = 0.8933... → 0.89

9) 5.76 ÷ 3.2

×10: 57.6 ÷ 32

32 × 1 = 32 → 25.6 → 32 × 0.8 = 25.6 → exactly 1.8 → 1.80

10) 38.1 ÷ 0.62

×100: 3810 ÷ 62

62 × 61 = 3782 → 3810-3782=28 → 28/62≈0.4516 → 61.45

11) 76.7 ÷ 0.04

×100: 7670 ÷ 4 = 1917.5 → 1917.50

12) 0.83 ÷ 1.1

×10: 8.3 ÷ 11 = 0.7545... → 0.75

13) 97.9 ÷ 0.51

×100: 9790 ÷ 51

51 × 191 = 51×190=9690 +51=9741 → 9790-9741=49 → 49/51≈0.96 → 191.96

14) 46.3 ÷ 0.91

×100: 4630 ÷ 91

91 × 50 = 4550 → 80 → 91×0.8=72.8 → 7.2 → 91×0.07=6.37 → etc → approx 50.879 → 50.88

15) 95.5 ÷ 0.28

×100: 9550 ÷ 28

28 × 341 = 28×300=8400, 28×41=1148 → total 9548 → remainder 2 → 2/28≈0.071 → 341.07

16) 37.7 ÷ 0.80

×100: 3770 ÷ 80 = 47.125 → 47.13

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Now, let’s list them neatly with 2 decimal places where needed:

1) 9.52
2) 35.91
3) 8.07
4) 2.58
5) 1.38
6) 102.41
7) 13.92
8) 0.89
9) 1.80
10) 61.45
11) 1917.50
12) 0.75
13) 191.96
14) 50.88
15) 341.07
16) 47.13

Double-check a few:

Problem 9: 5.76 ÷ 3.2 → 576 ÷ 320 = 1.8 → correct.

Problem 11: 76.7 ÷ 0.04 = 7670 ÷ 4 = 1917.5 → correct.

Problem 16: 37.7 ÷ 0.8 = 377 ÷ 8 = 47.125 → rounds to 47.13? Actually, 47.125 is exactly halfway — convention is to round to even, so 47.12? But typically in school, 47.13 is accepted. However, 47.125 rounded to two decimals is 47.13? No — 47.125 → look at third decimal is 5, so round up second decimal from 2 to 3 → yes, 47.13.

Actually, 47.125 → the digit in thousandths place is 5, so we round up the hundredths place: 2 becomes 3 → 47.13. Correct.

Similarly, problem 5: 0.66 ÷ 0.48 = 66/48 = 11/8 = 1.375 → rounds to 1.38? Yes, because 5 rounds up.

All seem consistent.

Final Answers:

Final Answer:
1) 9.52
2) 35.91
3) 8.07
4) 2.58
5) 1.38
6) 102.41
7) 13.92
8) 0.89
9) 1.80
10) 61.45
11) 1917.50
12) 0.75
13) 191.96
14) 50.88
15) 341.07
16) 47.13