Decimal division practice worksheet for students to find quotients, presented by Math Monks.

Let’s solve each decimal division problem step by step. We’ll find the quotient for each one.

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Problem 1: 30.58 ÷ 5.2

To divide decimals, we can make the divisor (5.2) a whole number by multiplying both numbers by 10.

→ 30.58 × 10 = 305.8
→ 5.2 × 10 = 52

Now divide: 305.8 ÷ 52

Do long division:

52 goes into 305 → 5 times (52×5=260), subtract: 305 - 260 = 45
Bring down 8 → 458
52 goes into 458 → 8 times (52×8=416), subtract: 458 - 416 = 42
Add decimal point and zero → 420
52 goes into 420 → 8 times (52×8=416), subtract: 420 - 416 = 4
Another zero → 40 → 52 doesn’t go in, so stop or round.

So ≈ 5.88 (we can check: 5.2 × 5.88 = let’s verify later)

Actually, better to do exact:

305.8 ÷ 52 = ?

Let me calculate properly:

52 × 5.88 = 52 × 5 + 52 × 0.8 + 52 × 0.08 = 260 + 41.6 + 4.16 = 305.76 → close to 305.8

Difference is 0.04 → so maybe 5.8807... but for school level, often 2 decimal places.

Wait — let's do it more accurately.

Actually, 30.58 ÷ 5.2

Multiply numerator and denominator by 100 to eliminate all decimals? Wait, 5.2 has one decimal, 30.58 has two → multiply by 100:

30.58 × 100 = 3058
5.2 × 100 = 520

Now: 3058 ÷ 520

Divide:

520 × 5 = 2600 → 3058 - 2600 = 458
520 × 0.8 = 416 → 458 - 416 = 42
520 × 0.08 = 41.6 → 42 - 41.6 = 0.4
Then 0.4 / 520 = 0.000769...

So total ≈ 5.880769...

But perhaps we should keep it as fraction or rounded.

Wait — let’s use calculator-style thinking for accuracy since this is homework.

Actually, 30.58 ÷ 5.2 = ?

Let me compute:

5.2 × 5.88 = 5.2 × 5 = 26, 5.2 × 0.88 = 4.576 → total 26 + 4.576 = 30.576 → very close to 30.58

Difference: 30.58 - 30.576 = 0.004 → so add 0.004/5.2 ≈ 0.00077 → so ≈ 5.88077

But for worksheet, likely expect 5.88 or exact fraction.

Alternatively, write as:

30.58 / 5.2 = 3058 / 520 = simplify?

Divide numerator and denominator by 2: 1529 / 260

Now divide 1529 ÷ 260:

260 × 5 = 1300 → 1529 - 1300 = 229
260 × 0.8 = 208 → 229 - 208 = 21
260 × 0.08 = 20.8 → 21 - 20.8 = 0.2
So 5.88 + 0.2/260 ≈ 5.88077

I think for this level, they might expect rounding to two decimals: 5.88

But let’s check with actual division:

Set up: 5.2 ) 30.58

Move decimal: 52 ) 305.8

52 into 305: 5 → 5×52=260 → subtract → 45
Bring down 8 → 458
52 into 458: 8 → 8×52=416 → subtract → 42
Add decimal and zero → 420
52 into 420: 8 → 416 → remainder 4
Another zero → 40 → 52 doesn’t go → so 5.88 with remainder, or 5.88 if rounded.

Actually, 5.88 is fine. But let’s see what the exact value is.

30.58 ÷ 5.2 = 5.88076923077...

So for practical purposes, 5.88

But wait — maybe they want exact? Let’s hold and do others similarly.

Actually, I recall that in such worksheets, sometimes answers are neat. Let me double-check calculation.

5.2 × 5.88 = 5.2 × 5 = 26, 5.2 × 0.88 = let's compute: 5.2 × 0.8 = 4.16, 5.2 × 0.08 = 0.416, so 4.16 + 0.416 = 4.576, total 26 + 4.576 = 30.576, which is 0.004 less than 30.58, so not exact.

Perhaps I made a mistake in setup.

Original: 30.58 ÷ 5.2

Multiply both by 10: 305.8 ÷ 52

Now 52 × 5.88 = as above 305.76, difference 0.04, so 5.88 + 0.04/52 = 5.88 + 0.000769 = 5.880769

So perhaps the answer is 5.88 if rounded to two decimals.

But let's look at other problems — maybe some are cleaner.

Problem 2: 145.13 ÷ 7.5

Multiply both by 10: 1451.3 ÷ 75

75 × 19 = 1425
1451.3 - 1425 = 26.3
75 × 0.35 = 26.25
26.3 - 26.25 = 0.05
So 19.35 + 0.05/75 ≈ 19.350666...

So approximately 19.35

Check: 7.5 × 19.35 = 7.5 × 19 = 142.5, 7.5 × 0.35 = 2.625, total 145.125, close to 145.13, difference 0.005, so very close.

So 19.35

Problem 3: 288.09 ÷ 68

68 × 4 = 272
288.09 - 272 = 16.09
68 × 0.236 = ? 68 × 0.2 = 13.6, 68 × 0.03 = 2.04, total 15.64, subtract from 16.09 = 0.45
68 × 0.0066 ≈ 0.4488, close.

So 4 + 0.236 + 0.0066 ≈ 4.2426

Calculate directly: 288.09 ÷ 68

68 × 4.236 = let's see: 68 × 4 = 272, 68 × 0.2 = 13.6, total 285.6, then 68 × 0.036 = 2.448, total 285.6 + 2.448 = 288.048, close to 288.09, difference 0.042, so add 0.042/68 ≈ 0.000617, so ≈ 4.2366

So 4.24 if rounded to two decimals.

But let's be precise.

288.09 ÷ 68 = ?

Do division: 68 into 288.09

68 × 4 = 272, subtract, get 16.09
Bring down nothing, add decimal, so 160.9 (tenths)
68 into 160: 2 times (136), subtract, 24.9
68 into 249 (hundredths): 3 times (204), subtract, 45
68 into 450 (thousandths): 6 times (408), subtract, 42
So 4.236 with remainder, so approximately 4.24

I think for consistency, we'll round to two decimal places unless exact.

Problem 4: 581.30 ÷ 100

This is easy! Dividing by 100 moves decimal point two places left.

581.30 ÷ 100 = 5.8130 → 5.813

Problem 5: 281.30 ÷ 3

3 × 93 = 279
281.30 - 279 = 2.30
3 × 0.7666... = 2.30? 3 × 0.7 = 2.1, 3 × 0.0666 = 0.2, total 2.3, yes.

So 93 + 0.7666... = 93.7666...

Exactly: 281.30 ÷ 3 = 28130 ÷ 300 = better: 281.3 / 3

3 into 281.3: 3 × 93 = 279, remainder 2.3, 2.3 / 3 = 23/30 = 0.7666..., so 93.7666...

As decimal, 93.77 if rounded to two decimals, but since 281.30 has two decimals, perhaps keep as is.

281.30 ÷ 3 = 93.7666... so typically written as 93.77 or as fraction.

But let's calculate: 3 × 93.7666 = 281.3, yes.

For worksheet, probably 93.77

Problem 6: 1889.37 ÷ 66.8

First, make divisor whole: multiply both by 10: 18893.7 ÷ 668

Now divide 18893.7 by 668.

668 × 28 = 668×20=13360, 668×8=5344, total 18704
18893.7 - 18704 = 189.7
668 × 0.284 = ? 668×0.2=133.6, 668×0.08=53.44, total 187.04, subtract from 189.7 = 2.66
668×0.004 = 2.672, too big, so 0.00398 etc.

So 28 + 0.284 = 28.284, plus a bit.

Approximately 28.28

Check: 66.8 × 28.28 = let's compute.

66.8 × 28 = 1870.4
66.8 × 0.28 = 18.704
Total 1870.4 + 18.704 = 1889.104
Compare to 1889.37, difference 0.266, so add 0.266/66.8 ≈ 0.00398, so total 28.28398

So 28.28 if rounded.

Problem 7: 58.34 ÷ 8.03

Multiply both by 100: 5834 ÷ 803

803 × 7 = 5621
5834 - 5621 = 213
803 × 0.265 = ? 803×0.2=160.6, 803×0.06=48.18, total 208.78, subtract from 213 = 4.22
803×0.005 = 4.015, close, so 0.265 + 0.005 = 0.27, but 4.22 - 4.015 = 0.205, so additional 0.000255

So 7.265 + 0.005 = 7.27 approximately.

Calculate: 8.03 × 7.265 = 8.03×7 = 56.21, 8.03×0.265 = let's say 8.03×0.2=1.606, 8.03×0.065=0.52195, total 2.12795, so total 56.21 + 2.12795 = 58.33795, very close to 58.34, difference 0.00205, so add 0.00205/8.03≈0.000255, so 7.265255

So 7.27 if rounded to two decimals.

Problem 8: 9.204 ÷ 3.9

Multiply both by 10: 92.04 ÷ 39

39 × 2 = 78
92.04 - 78 = 14.04
39 × 0.36 = 14.04 exactly! Because 39×0.3=11.7, 39×0.06=2.34, total 14.04

So 2 + 0.36 = 2.36

Exactly! So 2.36

Problem 9: 2867.18 ÷ 1000

Dividing by 1000 moves decimal three places left.

2867.18 ÷ 1000 = 2.86718 → 2.867

Now, let's summarize with accurate calculations. Since this is a worksheet, and some are exact, let's list them with proper precision.

After rechecking:

1. 30.58 ÷ 5.2 = 5.880769... → typically rounded to 5.88
2. 145.13 ÷ 7.5 = 19.350666... → 19.35
3. 288.09 ÷ 68 = 4.236617... → 4.24
4. 581.30 ÷ 100 = 5.813
5. 281.30 ÷ 3 = 93.7666... → 93.77 (rounded)
6. 1889.37 ÷ 66.8 = 28.28398... → 28.28
7. 58.34 ÷ 8.03 = 7.265255... → 7.27
8. 9.204 ÷ 3.9 = 2.36 (exact)
9. 2867.18 ÷ 1000 = 2.867

For problem 5, 281.30 ÷ 3: since 281.30 has two decimals, and 3 is integer, the quotient can have more decimals, but often in such contexts, they might expect 93.77 or even 93.766... but I think 93.77 is fine.

Similarly, for problem 4 and 9, they are exact.

Let me confirm problem 8 again: 9.204 ÷ 3.9

3.9 × 2.36 = 3.9 × 2 = 7.8, 3.9 × 0.36 = 1.404, total 7.8 + 1.404 = 9.204 → perfect.

So now, compiling final answers:

Final Answer:
1. 5.88
2. 19.35
3. 4.24
4. 5.813
5. 93.77
6. 28.28
7. 7.27
8. 2.36
9. 2.867