Decimal Division Level 6 Worksheet featuring 12 problems for practicing division with decimals.

Let’s solve each decimal division problem step by step. We’ll use long division, and remember: when dividing decimals, we can move the decimal point in both the divisor and dividend to make the divisor a whole number — but here, all divisors are already whole numbers (like 12, 9, 8, etc.), so we just divide normally and place the decimal point in the quotient directly above where it is in the dividend.

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Problem 1: 3.06 ÷ 12

We write it as:
   0.255
  ——————
12 ) 3.060
   -2.4
   ———
   0.66
    -0.60
    ———
    0.060
    -0.060
     ———
     0

✔ Answer: 0.255

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Problem 2: 3.06 ÷ 9

    0.34
   ——————
9 ) 3.06
  -2.7
   ———
   0.36
    -0.36
    ———
     0

✔ Answer: 0.34

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Problem 3: 16.62 ÷ 8

   2.0775
  ———————
8 ) 16.6200
   -16
   ———
    0.62
   -0.56
   ———
     0.060
     -0.056
    ———
      0.0040
     -0.0040
     ———
         0

Wait — let me check that again. Actually:

8 × 2 = 16 → subtract from 16 → 0
Bring down 6 → 6
8 goes into 6 zero times → write 0 after decimal
So now we have 62 (after bringing down 2) → 8 × 7 = 56 → 62 - 56 = 6
Bring down 0 → 60 → 8 × 7 = 56 → remainder 4
Bring down another 0 → 40 → 8 × 5 = 40 → done.

So: 2.0775? Wait — no:

Actually:

16.62 ÷ 8

Step-by-step:

8 into 16 → 2 → 2×8=16 → subtract → 0
Decimal point → bring down 6 → 6
8 into 6 → 0 → so quotient so far: 2.0
Bring down 2 → 62
8 into 62 → 7 → 7×8=56 → 62-56=6
Bring down 0 → 60
8 into 60 → 7 → 7×8=56 → 60-56=4
Bring down 0 → 40
8 into 40 → 5 → 5×8=40 → 0

So quotient is 2.0775

But wait — 16.62 has only two decimal places. Let me verify with multiplication:

2.0775 × 8 = ?

2 × 8 = 16
0.0775 × 8 = 0.62 → yes! Because 0.07×8=0.56, 0.0075×8=0.06 → total 0.62 → 16 + 0.62 = 16.62 ✔

✔ Answer: 2.0775

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Problem 4: 4.27 ÷ 4

   1.0675
   ———————
4 ) 4.2700
  -4
   ———
    0.27
   -0.24
   ———
     0.030
     -0.028
    ———
      0.0020
     -0.0020
     ———
         0

Check: 1.0675 × 4 = 4.27 → yes!

✔ Answer: 1.0675

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Problem 5: 145.6 ÷ 14

Let’s do this carefully.

14 into 145 → how many times?

14 × 10 = 140 → 145 - 140 = 5 → so 10 so far
Bring down 6 → 56
14 into 56 → exactly 4 → so total 10.4

Wait — let’s write it properly:

    10.4
   ——————
14 ) 145.6
   -140
   ———
     5.6
     -5.6
    ———
       0

Yes! 14 × 10.4 = 145.6 ✔

✔ Answer: 10.4

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Problem 6: 7.777 ÷ 7

   1.111
   ——————
7 ) 7.777
  -7
  ———
    0.777
   -0.7
    ———
    0.077
    -0.07
    ———
      0.007
     -0.007
      ———
       0

Each digit divides evenly: 7÷7=1, then 7÷7=1, etc.

✔ Answer: 1.111

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Problem 7: 108.4 ÷ 12

Let’s compute:

12 into 108 → 9 → 9×12=108 → subtract → 0
Bring down 4 → 4 → 12 into 4 → 0 → so we add decimal and zeros

So: 9.0... then 4 becomes 40 (add decimal and zero)

12 into 40 → 3 → 3×12=36 → 40-36=4
Bring down 0 → 40 again → same thing → repeats

So: 9.0333...

But let’s write it as fraction or exact decimal?

Actually:

108.4 ÷ 12 = ?

Multiply numerator and denominator by 10 to eliminate decimal: 1084 ÷ 120

Simplify: divide numerator and denominator by 4 → 271 ÷ 30

Now divide 271 by 30:

30 × 9 = 270 → remainder 1 → so 9 and 1/30 → 9.0333...

As decimal: 9.033... but since original had one decimal, maybe round? But worksheet likely expects exact.

Wait — let’s do long division properly:

   9.033...
   ———————
12 ) 108.400
   -108
   ———
     0.40
    -0.36 ← 12×0.03=0.36
    ———
      0.040
     -0.036 ← 12×0.003=0.036
      ———
     0.004 → and so on

So it’s 9.0333... repeating.

But perhaps we should write it as 9.033 if rounded to three decimals? Or keep as fraction?

Looking at other problems, they seem to expect exact decimals where possible. Here, it’s repeating.

But let’s check: 12 × 9.0333... = 108.4? Yes.

In school worksheets, sometimes they accept repeating decimals or fractions. But since others terminated, maybe I made a mistake?

Wait — 108.4 ÷ 12:

Do 1084 ÷ 120 = ?

Divide 1084 by 120:

120 × 9 = 1080 → remainder 4 → so 9 + 4/120 = 9 + 1/30 ≈ 9.0333...

So answer is 9.033... but for practical purposes, maybe write as 9.033 (rounded to three decimals)? However, looking at problem 3 and 4, they went to four decimals.

Alternatively, perhaps leave as mixed number? But worksheet says "decimal division", so probably decimal.

I think we should write it as 9.033 with a bar over the 3, but since we can’t type that, maybe write 9.0333... but for final answer, perhaps they expect exact value.

Wait — let me calculate numerically:

108.4 ÷ 12 = 9.033333...

So I’ll write it as 9.033 (if rounding to three decimals) but actually, in context, since 108.4 has one decimal, quotient might be expected to have more.

Looking back at problem 3: 16.62 ÷ 8 = 2.0775 — four decimals.

Similarly, here, we can write 9.0333 but it’s infinite.

Perhaps better to write as fraction? But instruction is decimal division.

Another way: 108.4 / 12 = 1084 / 120 = 271 / 30 = 9 1/30 = 9.0333...

For the purpose of this worksheet, I’ll write 9.033 assuming three decimal places, but technically it's repeating.

Wait — let me see if I can express it exactly.

Actually, in the answer key, they might expect 9.033 or 9.03̅3̅ but since we’re writing text, I’ll put 9.033 and note it’s approximate, but for consistency, let’s do exact calculation.

Perhaps I should continue division until it terminates or repeat.

From earlier:

After 9., we have 0.4 → 40 tenths? No:

Better:

108.4 ÷ 12

= (108 + 0.4) ÷ 12 = 108÷12 + 0.4÷12 = 9 + 0.0333... = 9.0333...

So the exact decimal is 9.0333... with 3 repeating.

In many school contexts, they might write it as 9.033 or specify to round. Since other answers are exact, perhaps this one is meant to be left as is.

But let’s move on and come back.

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Problem 8: 11.7 ÷ 13

13 into 11.7

13 > 11, so 0.

Add decimal: 117 tenths ÷ 13

13 × 9 = 117 → exactly!

So 0.9

Check: 13 × 0.9 = 11.7 ✔

✔ Answer: 0.9

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Problem 9: 134.5 ÷ 15

Let’s compute:

15 into 134 → 15×8=120, 15×9=135 too big → so 8

8×15=120 → 134-120=14

Bring down 5 → 145

15 into 145 → 15×9=135, 15×10=150 too big → 9

9×15=135 → 145-135=10

Add decimal and zero → 100

15 into 100 → 6 → 6×15=90 → 100-90=10

Again → 100 → 6 → repeats

So: 8.9666...

Write as 8.966... or 8.96̅6̅

Numerically: 134.5 ÷ 15 = 1345 ÷ 150 = 269 ÷ 30 = 8.9666...

So 8.966...

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Problem 10: 1040.5 ÷ 6

This is large, but let’s do it.

6 into 10 → 1 → 1×6=6 → 10-6=4

Bring down 4 → 44

6 into 44 → 7 → 7×6=42 → 44-42=2

Bring down 0 → 20

6 into 20 → 3 → 3×6=18 → 20-18=2

Bring down 5 → 25 (but wait, decimal point!)

Original number is 1040.5, so after 1040, we have .5

So after 20 (from 1040), we have decimal, then 5.

So:

After getting to 20 (from 1040), we have quotient so far 173, and remainder 2.

Now, decimal point in quotient, bring down 5 → 25

6 into 25 → 4 → 4×6=24 → 25-24=1

Bring down 0 → 10

6 into 10 → 1 → 1×6=6 → 10-6=4

Bring down 0 → 40

6 into 40 → 6 → 6×6=36 → 40-36=4

And so on — repeats.

So quotient: 173.41666...

Let me write steps:

   173.4166...
   ———————
6 ) 1040.5000
   -6
   ———
   44
   -42
   ———
     20
     -18
     ———
     25 ← after decimal, bring down 5
     -24
     ———
       10
       -6
      ———
      40
        -36
        ———
       4 → and repeats

So 173.41666... = 173.416̅

Check: 6 × 173.41666... = 1040.5? Let's see:

6 × 173 = 1038

6 × 0.41666... = 2.5 → because 0.41666... = 5/12, 6×5/12=30/12=2.5 → 1038+2.5=1040.5 ✔

So answer is 173.4166... or approximately 173.417 if rounded, but exact is repeating.

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Now, going back to Problem 7: 108.4 ÷ 12 = 9.0333... = 9.03̅3̅

Problem 9: 134.5 ÷ 15 = 8.9666... = 8.96̅6̅

Problem 10: 1040.5 ÷ 6 = 173.41666... = 173.416̅

For the worksheet, since it's level B, they might expect the exact decimal representation, even if repeating. But in many cases, they stop at a few decimals.

Looking at the problems, some terminate, some don't. For non-terminating, we can write the repeating part or round.

But to be precise, I'll provide the exact decimal where possible, and for repeating, indicate or write sufficient digits.

However, in the initial problems, like 3.06÷12=0.255, which is exact.

For consistency, I'll calculate each to enough decimal places to show the pattern or exact value.

Let me list all answers clearly:

1. 3.06 ÷ 12 = 0.255

2. 3.06 ÷ 9 = 0.34

3. 16.62 ÷ 8 = 2.0775

4. 4.27 ÷ 4 = 1.0675

5. 145.6 ÷ 14 = 10.4

6. 7.777 ÷ 7 = 1.111

7. 108.4 ÷ 12 = 9.0333... or 9.033 (but let's say 9.0333 for four decimals)

Actually, 108.4 ÷ 12 = 9.033333... so if we write four decimals, it's 9.0333

Similarly, 134.5 ÷ 15 = 8.966666... → 8.9667 if rounded to four decimals, but exact is 8.9666...

1040.5 ÷ 6 = 173.416666... → 173.4167 if rounded, but let's keep as is.

Perhaps the worksheet expects exact values, so for repeating decimals, we can write them as fractions, but the title is "decimal division", so decimals are fine.

I think for this response, I'll provide the answers as calculated, with repeating decimals shown to four places or as exact.

But to match the format, let's finalize:

After double-checking all:

1. 0.255

2. 0.34

3. 2.0775

4. 1.0675

5. 10.4

6. 1.111

7. 9.0333 (since 108.4 / 12 = 9.0333...)

8. 0.9

9. 8.9667 (rounded) or 8.9666... — let's calculate exactly: 134.5 / 15 = 1345/150 = 269/30 = 8.9666... so 8.9667 if rounded to four decimals

10. 1040.5 / 6 = 10405/60 = 2081/12 = 173.41666... so 173.4167

But to be accurate, I'll use the exact decimal representations as per calculation.

Since the student is solving homework, and worksheet likely has space for answers, I'll provide the most precise form.

Final decision: for terminating decimals, write full; for repeating, write up to four decimals or indicate.

But in the interest of time and clarity, here are the answers:

1. 0.255

2. 0.34

3. 2.0775

4. 1.0675

5. 10.4

6. 1.111

7. 9.0333 (repeating, but written as 9.0333)

8. 0.9

9. 8.9667 (rounded from 8.9666...)

10. 173.4167 (rounded from 173.4166...)

But let's verify problem 7: 12 * 9.0333 = 108.3996, close to 108.4, difference due to rounding.

Exact is 9.0333... with 3 repeating, so perhaps write 9.0333 and understand it's approximate.

To avoid confusion, I'll provide the exact fractional equivalents where needed, but since the task is decimal division, I'll stick to decimals.

Another idea: in some curricula, they teach to continue division until you get a remainder of 0 or see repetition, and write the repeating part.

For example, for 108.4 ÷ 12, it's 9.0333... so answer is 9.0\overline{3}

But since we can't type that, in text, we can write 9.0333...

For the final answer section, I'll list them as:

1. 0.255

2. 0.34

3. 2.0775

4. 1.0675

5. 10.4

6. 1.111

7. 9.0333 (or 9.033...)

8. 0.9

9. 8.9667 (or 8.966...)

10. 1