Worksheet for practicing division of decimals by decimals, featuring 20 problems.

Let’s solve each problem step by step. We’re dividing decimals by decimals or whole numbers. The key is to make the divisor (the number you’re dividing by) a whole number — if it isn’t already — by multiplying both the dividend and divisor by 10, 100, etc., as needed. But in many of these, we can just divide directly or use simple decimal division rules.

We’ll go one by one:

---

1. 388 ÷ 0.97

To make 0.97 a whole number, multiply both numbers by 100:
→ 388 × 100 = 38,800
→ 0.97 × 100 = 97
Now do: 38,800 ÷ 97

Let’s calculate:
97 × 400 = 38,800 → So answer is 400

✔ Check: 0.97 × 400 = 388 ✔️

---

2. 272 ÷ 0.85

Multiply both by 100:
272 × 100 = 27,200
0.85 × 100 = 85
Now: 27,200 ÷ 85

85 × 320 = ?
85 × 300 = 25,500
85 × 20 = 1,700 → Total = 25,500 + 1,700 = 27,200 → So 320

✔ Check: 0.85 × 320 = 272 ✔️

---

3. 78 ÷ 23

This is straightforward division.

23 × 3 = 69 → 78 - 69 = 9 → so 3 with remainder 9 → 3 + 9/23 ≈ 3.391...

But let’s do exact decimal:

78 ÷ 23 = 3.391304... but maybe they want rounded? Let’s check context — other problems are clean. Wait — perhaps I misread? No, 78 ÷ 23 is not a nice number.

Wait — double-check original: “78 ÷ 23” — yes.

Actually, let’s compute properly:

23 × 3 = 69 → subtract → 9
Bring down 0 → 90
23 × 3 = 69 → 90 - 69 = 21
Bring down 0 → 210
23 × 9 = 207 → 210 - 207 = 3
Bring down 0 → 30
23 × 1 = 23 → 7
So approximately 3.391...

But looking at other problems — maybe it’s meant to be exact? Or perhaps I should leave as fraction? But worksheet says “find answers”, likely decimal.

Wait — let me recalculate all carefully. Maybe some are designed to be whole numbers.

Hold on — perhaps I made a mistake. Let’s look again.

Actually, let’s do them all systematically and see which ones come out clean.

Maybe #3 is 78 ÷ 2.3? No, image says 23.

Wait — user wrote: “3. 78 ÷ 23 = _________”

Okay, so it’s 78 divided by 23.

Let me calculate exactly:

78 ÷ 23 = 3.3913043478... — but that seems messy for this level.

Perhaps it’s a typo? Or maybe we round to two decimals?

Looking at other problems — like #4: 308 ÷ 0.7 — that will be clean.

Let me skip and come back.

Actually, let’s do all and see.

---

4. 308 ÷ 0.7

Multiply both by 10: 3080 ÷ 7

7 × 440 = 3080 → so 440

✔ Check: 0.7 × 440 = 308 ✔️

---

5. 95 ÷ 76

95 ÷ 76 = ?

76 × 1 = 76 → 95 - 76 = 19 → so 1 + 19/76 = 1.25? Let’s see:

19/76 = 1/4 = 0.25 → so 1.25

✔ Check: 76 × 1.25 = 76 × 1 + 76 × 0.25 = 76 + 19 = 95 ✔️

So 1.25

---

6. 108 ÷ 12

Easy: 12 × 9 = 108 → 9

---

7. 132 ÷ 0.88

Multiply both by 100: 13,200 ÷ 88

Simplify: divide numerator and denominator by 4: 3,300 ÷ 22

22 × 150 = 3,300 → so 150

✔ Check: 0.88 × 150 = 132 ✔️

---

8. 28 ÷ 5.45

Hmm, not obvious. Multiply both by 100: 2800 ÷ 545

Simplify: divide numerator and denominator by 5: 560 ÷ 109

109 × 5 = 545 → 560 - 545 = 15 → so 5 + 15/109 ≈ 5.1376...

Not nice. Did I misread? Original says “28 ÷ 5.45”

Wait — perhaps it’s 28 ÷ 5.6? No, image says 5.45.

Let me calculate:

5.45 × 5 = 27.25 → 28 - 27.25 = 0.75 → so 5 + 0.75/5.45 ≈ 5 + 0.1376 = 5.1376...

But maybe round to two decimals? 5.14? But others are exact.

Wait — let’s check problem 9: 0.35 ÷ 0.5 — that’s easy.

Perhaps for non-exact, we leave as fraction or decimal.

But let’s continue and see pattern.

Actually, let’s list all and solve accurately.

I think I need to accept that some may not be whole numbers.

But let’s try to compute precisely.

For now, let’s do the easy ones first.

---

9. 0.35 ÷ 0.5

Dividing by 0.5 is same as multiplying by 2 → 0.35 × 2 = 0.7

Or: 0.35 ÷ 0.5 = 35/50 = 7/10 = 0.7 ✔️

---

10. 46.48 ÷ 91

46.48 ÷ 91

Since 91 > 46.48, answer less than 1.

Do 4648 ÷ 9100 (multiply num and den by 100)

Better: 46.48 ÷ 91 = ?

91 × 0.5 = 45.5 → 46.48 - 45.5 = 0.98

Then 0.98 ÷ 91 = 0.010769...

So total ≈ 0.5 + 0.010769 = 0.510769...

Approximately 0.511? But let's see if exact.

46.48 / 91 = 4648 / 9100

Simplify: divide numerator and denominator by 4: 1162 / 2275

Not simplifying nicely. Decimal: 46.48 ÷ 91 = 0.510769... → perhaps 0.51 if rounded, but let's keep more digits.

Wait — maybe it's 46.48 ÷ 9.1? No, image says 91.

Perhaps calculate as is.

I think for accuracy, we'll compute each.

Let me make a table.

Actually, let's go back to #3: 78 ÷ 23

Let me calculate exactly:

23 * 3 = 69, remainder 9 → 9.000 / 23 = 0.3913... so 3.3913...

But perhaps the worksheet expects us to use calculator or round.

Looking at the title: "Divide Decimals by Decimals Problem Sheet" — so likely expects decimal answers.

Let me assume we need to provide decimal answers, possibly rounded to two or three places if not exact.

But many are exact, as we saw.

Let's list all with calculations:

1. 388 ÷ 0.97 = 400 (as calculated)

2. 272 ÷ 0.85 = 320

3. 78 ÷ 23 = let's say 3.391 (but let's compute: 78 ÷ 23 = 3.3913043478...) — perhaps 3.39 if rounded to two decimals? But let's see what makes sense.

Wait — perhaps I misread the problem. Let me double-check the user's input.

User wrote: "3. 78 ÷ 23 = _________"

Yes.

But in the image description, it's listed as such.

Perhaps it's 7.8 ÷ 2.3? No, user said 78 ÷ 23.

Another thought: maybe it's 78 divided by 2.3? But no, it's written as 23.

Let's proceed and for non-integer, give decimal.

But let's do #8: 28 ÷ 5.45

5.45 * 5 = 27.25, as before, difference 0.75, so 5 + 0.75/5.45 = 5 + 75/545 = 5 + 15/109 ≈ 5 + 0.1376 = 5.1376

Similarly, #10: 46.48 ÷ 91 = 0.510769...

This is taking too long. Perhaps the worksheet has typos, or I need to accept approximate values.

Let's look at problem 11: 634 ÷ 78

634 ÷ 78

78 * 8 = 624, 634 - 624 = 10, so 8 + 10/78 = 8 + 5/39 ≈ 8.1282

Again not nice.

Problem 12: 5.36 ÷ 0.67

Multiply by 100: 536 ÷ 67

67 * 8 = 536 → so 8

Oh! Nice.

So 5.36 ÷ 0.67 = 8

✔ Check: 0.67 * 8 = 5.36 ✔️

Similarly, problem 13: 255 ÷ 85 = 3, since 85*3=255

Problem 14: 306 ÷ 17 = 18, because 17*18=306

Problem 15: 0.24 ÷ 0.04 = 24 ÷ 4 = 6 (multiply by 100)

Problem 16: 989 ÷ 23

23*43 = 23*40=920, 23*3=69, total 989 → so 43

Problem 17: 25.92 ÷ 36

25.92 ÷ 36

36 * 0.7 = 25.2, 25.92 - 25.2 = 0.72, 0.72 ÷ 36 = 0.02, so 0.72

36 * 0.72 = ? 36*0.7=25.2, 36*0.02=0.72, total 25.92 → so 0.72

Problem 18: 182 ÷ 13 = 14, since 13*14=182

Problem 19: 729 ÷ 81 = 9, because 81*9=729

Problem 20: 4.44 ÷ 0.74

Multiply by 100: 444 ÷ 74

74 * 6 = 444 → so 6

Now back to the earlier ones that were messy.

Problem 3: 78 ÷ 23

Let me calculate exactly: 78 ÷ 23 = 3.3913043478... — but perhaps it's 3.39 if rounded, but let's see if there's a mistake.

Wait — in the user's message, it's "3. 78 ÷ 23", but in the image, is it possible it's 7.8 ÷ 2.3? Because 7.8 ÷ 2.3 = 78/23 = same thing.

No, same value.

Perhaps the worksheet allows fractions, but unlikely.

Another idea: maybe for those, we leave as mixed number, but the blank suggests decimal.

Let's check problem 8: 28 ÷ 5.45

5.45 = 545/100 = 109/20, so 28 ÷ (109/20) = 28 * 20 / 109 = 560 / 109 ≈ 5.1376

Similarly, problem 10: 46.48 ÷ 91 = 4648/9100 = 1162/2275 ≈ 0.5108

Problem 11: 634 ÷ 78 = 317/39 ≈ 8.1282

But notice that in the list, most are exact except these few.

Perhaps I misread some.

Let's list all 20 with correct calculations:

1. 388 ÷ 0.97 = 400

2. 272 ÷ 0.85 = 320

3. 78 ÷ 23 = 78/23 = 3.3913043478... — let's say 3.391 (to three decimals) or perhaps it's 3.39

But to be precise, let's calculate as per standard.

Perhaps the student is expected to use long division and round.

But for consistency, let's provide exact decimal where possible, else rounded.

However, upon second thought, let's verify problem 3: 78 ÷ 23.

23 * 3.391 = 23*3 = 69, 23*0.3 = 6.9, total 75.9, 23*0.091 = approximately 2.093, total 77.993, close to 78.

So 3.391 is good.

But let's see if there's a better way.

Perhaps the worksheet has a typo, and it's 78 ÷ 2.6 or something, but we have to go with what's given.

Let's do all:

After rechecking, here are the accurate answers:

1. 388 ÷ 0.97 = 400

2. 272 ÷ 0.85 = 320

3. 78 ÷ 23 = 3.3913043478... — but for practical purposes, let's use 3.391 (rounded to three decimals) or perhaps the problem is 78.0 ÷ 23.0, and answer is 3.391

But to match the format, let's see other problems.

Problem 8: 28 ÷ 5.45 = 5.1376146789... ≈ 5.138

Problem 10: 46.48 ÷ 91 = 0.5107692308... ≈ 0.511

Problem 11: 634 ÷ 78 = 8.1282051282... ≈ 8.128

But this is inconsistent.

Perhaps for those, we can leave as fraction, but the worksheet likely expects decimal.

Another idea: maybe in problem 3, it's 78 ÷ 2.3, but user wrote 23.

Let's assume the user typed correctly, and we must solve as is.

Perhaps the "23" is "2.3", but in the text, it's "23".

In the user's message: "3. 78 ÷ 23 = _________" — so it's 23.

Let's calculate all with high precision and round to three decimals if not integer.

But for the sake of completing, let's list the exact values where possible, and for others, the decimal.

Upon careful calculation, here are the answers:

1. 400

2. 320

3. 78 ÷ 23 = 3.391 (approximately)

But let's do exact division for all.

I recall that in some worksheets, they expect the answer as is.

Perhaps for #3, it's 3.39, but let's box the answers as per calculation.

Let's finalize:

After solving each:

1. 388 ÷ 0.97 = 400

2. 272 ÷ 0.85 = 320

3. 78 ÷ 23 = 3.3913043478 — let's say 3.391

4. 308 ÷ 0.7 = 440

5. 95 ÷ 76 = 1.25

6. 108 ÷ 12 = 9

7. 132 ÷ 0.88 = 150

8. 28 ÷ 5.45 = 5.1376146789 — 5.138

9. 0.35 ÷ 0.5 = 0.7

10. 46.48 ÷ 91 = 0.5107692308 — 0.511

11. 634 ÷ 78 = 8.1282051282 — 8.128

12. 5.36 ÷ 0.67 = 8

13. 255 ÷ 85 = 3

14. 306 ÷ 17 = 18

15. 0.24 ÷ 0.04 = 6

16. 989 ÷ 23 = 43

17. 25.92 ÷ 36 = 0.72

18. 182 ÷ 13 = 14

19. 729 ÷ 81 = 9

20. 4.44 ÷ 0.74 = 6

For the non-integer ones, I'll round to three decimal places as it's common.

So:

3. 3.391

8. 5.138

10. 0.511

11. 8.128

But let's confirm problem 10: 46.48 ÷ 91

91 * 0.511 = 91*0.5=45.5, 91*0.011=1.001, total 46.501, which is slightly over 46.48, so 0.5108 is better.

91 * 0.5108 = 91*0.5=45.5, 91*0.0108=0.9828, total 46.4828, very close to 46.48, so 0.5108, but for three decimals, 0.511 is acceptable as rounding.

Similarly, for 78 ÷ 23: 23*3.391 = 23*3=69, 23*0.391=8.993, total 77.993, close to 78, so 3.391 is fine.

For 28 ÷ 5.45: 5.45*5.138 = 5.45*5=27.25, 5.45*0.138=0.7521, total 28.0021, very close.

For 634 ÷ 78: 78*8.128 = 78*8=624, 78*0.128=9.984, total 633.984, close to 634, so 8.128 is good.

So we'll use those.

Now, to present the final answer, since the user asked for the solution, and to follow the format, but the options are false, so only Final Answer section.

But the instruction is to provide the final correct answer after reasoning.

Since it's a list, I'll list all answers.

Final Answer:

1. 400
2. 320
3. 3.391
4. 440
5. 1.25
6. 9
7. 150
8. 5.138
9. 0.7
10. 0.511
11. 8.128
12. 8
13. 3
14. 18
15. 6
16. 43
17. 0.72
18. 14
19. 9
20. 6

Note: For problems 3, 8, 10, and 11, the answers are rounded to three decimal places for practicality, as they are not exact decimals. All other answers are exact.