Grade 6 Math Worksheets: Long division of decimals (2-digits) | Worsheets library... - Free Printable

Let’s solve each long division problem step by step. We’re dividing decimals by decimals, and we need to round the answer to 6 decimal places.

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Problem 1: 37.43 ÷ 0.01

When you divide by 0.01, it’s the same as multiplying by 100.

So:
37.43 × 100 = 3743.000000

✔ Answer: 3743.000000

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Problem 2: 350.2 ÷ 0.6

To make this easier, multiply both numbers by 10 to get rid of the decimal in the divisor:

→ 3502 ÷ 6

Now do the division:

6 goes into 35 → 5 times (5×6=30), remainder 5
Bring down 0 → 50
6 goes into 50 → 8 times (8×6=48), remainder 2
Bring down 2 → 22
6 goes into 22 → 3 times (3×6=18), remainder 4
Add a decimal point and zeros: 40
6 goes into 40 → 6 times (6×6=36), remainder 4
Again: 40 → 6 again… this will repeat!

So: 3502 ÷ 6 = 583.666666...

Rounded to 6 decimal places: 583.666667

✔ Answer: 583.666667

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Problem 3: 588.5 ÷ 0.4

Multiply both by 10: → 5885 ÷ 4

Divide:

4 into 5 → 1, remainder 1
Bring down 8 → 18 → 4×4=16, remainder 2
Bring down 8 → 28 → 4×7=28, remainder 0
Bring down 5 → 5 → 4×1=4, remainder 1
Add decimal and zero → 10 → 4×2=8, remainder 2
Next zero → 20 → 4×5=20, remainder 0

So: 5885 ÷ 4 = 1471.25

That’s exact. So to 6 decimal places: 1471.250000

✔ Answer: 1471.250000

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Problem 4: 628.3 ÷ 0.2

Multiply both by 10: → 6283 ÷ 2

Easy! Half of 6283 is:

6283 ÷ 2 = 3141.5

To 6 decimal places: 3141.500000

✔ Answer: 3141.500000

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Problem 5: 13.82 ÷ 0.3

Multiply both by 10: → 138.2 ÷ 3

Do the division:

3 into 13 → 4 (4×3=12), remainder 1
Bring down 8 → 18 → 3×6=18, remainder 0
Bring down 2 → 2 → 3×0=0, remainder 2
Add decimal and zero → 20 → 3×6=18, remainder 2
Again → 20 → 6 again… repeating!

So: 138.2 ÷ 3 = 46.066666...

Rounded to 6 decimal places: 46.066667

✔ Answer: 46.066667

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Problem 6: 863.1 ÷ 0.2

Multiply both by 10: → 8631 ÷ 2

Half of 8631:

8631 ÷ 2 = 4315.5

To 6 decimal places: 4315.500000

✔ Answer: 4315.500000

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Final Answer:
1. 3743.000000
2. 583.666667
3. 1471.250000
4. 3141.500000
5. 46.066667
6. 4315.500000