Dividing Decimals Worksheets - Math Monks - Free Printable

Let’s solve each division problem one by one. We’re dividing a decimal by a whole number, and then rounding the answer to the nearest tenth (that means one digit after the decimal point).

We’ll do long division for each, or use multiplication facts if we can.

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1. 85.4 ÷ 5

5 goes into 8 once → 5 × 1 = 5 → subtract: 8 - 5 = 3
Bring down 5 → 35
5 goes into 35 seven times → 5 × 7 = 35 → subtract: 0
Bring down 4 → now we have 4 (after decimal)
Add decimal point in quotient → so far we have 17.
Now, 5 goes into 4 zero times → write 0 → 5 × 0 = 0 → subtract: 4
Add a zero → 40
5 goes into 40 eight times → 5 × 8 = 40 → done!

So, 85.4 ÷ 5 = 17.08

Round to nearest tenth → look at hundredths place (8) → round up → 17.1

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2. 25.2 ÷ 6

6 into 25 → 4 times → 6×4=24 → subtract: 1
Bring down 2 → 12
6 into 12 → 2 times → 6×2=12 → done

So, 25.2 ÷ 6 = 4.2

Already at tenths → no rounding needed → 4.2

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3. 82.5 ÷ 7

7 into 8 → 1 → 7×1=7 → subtract: 1
Bring down 2 → 12
7 into 12 → 1 → 7×1=7 → subtract: 5
Bring down 5 → 55
7 into 55 → 7 → 7×7=49 → subtract: 6
Add decimal → quotient is 11.7 so far
Add zero → 60
7 into 60 → 8 → 7×8=56 → subtract: 4
So we have 11.78... → round to tenths → look at hundredths (8) → round up → 11.8

Wait — let me check that again:

Actually, 7 × 11 = 77 → 82.5 - 77 = 5.5
Then 5.5 ÷ 7 = 0.7857...

So total = 11 + 0.7857 = 11.7857 → round to tenths → 11.8

Yes.

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4. 68.8 ÷ 2

Easy! Half of 68 is 34, half of 0.8 is 0.4 → so 34.4

No rounding needed → 34.4

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5. 69.3 ÷ 4

4 into 6 → 1 → 4×1=4 → subtract: 2
Bring down 9 → 29
4 into 29 → 7 → 4×7=28 → subtract: 1
Bring down 3 → 13
Decimal point → quotient so far: 17.
4 into 13 → 3 → 4×3=12 → subtract: 1
Add zero → 10
4 into 10 → 2 → 4×2=8 → subtract: 2
Add zero → 20
4 into 20 → 5 → done

So: 17.325 → round to tenths → look at hundredths (2) → leave as is → 17.3

Wait — 17.325 → tenths digit is 3, hundredths is 2 → since 2 < 5, we don’t round up → 17.3

But let me verify with multiplication: 4 × 17.3 = 69.2 → close to 69.3 → difference is 0.1 → which is acceptable because we rounded.

Actually, exact value is 17.325 → yes, rounds to 17.3.

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6. 40.9 ÷ 5

5 into 40 → 8 → 5×8=40 → subtract: 0
Bring down 9 → 9
Decimal → quotient: 8.
5 into 9 → 1 → 5×1=5 → subtract: 4
Add zero → 40
5 into 40 → 8 → done

So: 8.18 → round to tenths → hundredths is 8 → round up → 8.2

Check: 5 × 8.2 = 41.0 → but original was 40.9 → slight over, but rounding rule says round up when next digit ≥5 → correct.

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7. 61.5 ÷ 7

7 into 61 → 8 → 7×8=56 → subtract: 5
Bring down 5 → 55
Decimal → quotient: 8.
7 into 55 → 7 → 7×7=49 → subtract: 6
Add zero → 60
7 into 60 → 8 → 7×8=56 → subtract: 4
Add zero → 40
7 into 40 → 5 → 7×5=35 → subtract: 5 → repeating?

So approximately 8.785... → round to tenths → hundredths is 8 → round up → 8.8

Check: 7 × 8.8 = 61.6 → very close to 61.5 → acceptable due to rounding.

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8. 46.9 ÷ 2

Half of 46 is 23, half of 0.9 is 0.45 → so 23.45 → round to tenths → hundredths is 5 → round up → 23.5

Check: 2 × 23.5 = 47.0 → original was 46.9 → fine.

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9. 76.1 ÷ 6

6 into 7 → 1 → 6×1=6 → subtract: 1
Bring down 6 → 16
6 into 16 → 2 → 6×2=12 → subtract: 4
Bring down 1 → 41
Decimal → quotient: 12.
6 into 41 → 6 → 6×6=36 → subtract: 5
Add zero → 50
6 into 50 → 8 → 6×8=48 → subtract: 2
Add zero → 20
6 into 20 → 3 → 6×3=18 → subtract: 2 → repeating

So: 12.683... → round to tenths → hundredths is 8 → round up → 12.7

Check: 6 × 12.7 = 76.2 → close to 76.1 → okay.

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Now let’s list all answers clearly:

1. 85.4 ÷ 5 = 17.1
2. 25.2 ÷ 6 = 4.2
3. 82.5 ÷ 7 = 11.8
4. 68.8 ÷ 2 = 34.4
5. 69.3 ÷ 4 = 17.3
6. 40.9 ÷ 5 = 8.2
7. 61.5 ÷ 7 = 8.8
8. 46.9 ÷ 2 = 23.5
9. 76.1 ÷ 6 = 12.7

Final Answer:
17.1, 4.2, 11.8, 34.4, 17.3, 8.2, 8.8, 23.5, 12.7