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Division practice worksheet featuring 12 problems with 4-digit dividends and 3-digit divisors.

A math worksheet with 12 division problems, each involving a three-digit divisor and a four-digit dividend, labeled as "Independent Practice 2 - Divide 4-Digit by 3-Digit Long Division."

A math worksheet with 12 division problems, each involving a three-digit divisor and a four-digit dividend, labeled as "Independent Practice 2 - Divide 4-Digit by 3-Digit Long Division."

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Show Answer Key & Explanations Step-by-step solution for: Independent Practice 2: Double Digit Long Division Worksheet for ...
It looks like you've uploaded an image containing a math problem, but the content is not clearly visible or readable in your message. However, based on what's visible in your text, it appears to be a worksheet titled "Independent Practice 2: Divide a Decimal Using Division", with several division problems involving decimals.

Here’s what I can see:

```
1. 0.1 ÷ 15677
2. 6.9 ÷ 476.79
3. 84 ÷ 59388
4. 54 ÷ 39744
5. 18 ÷ 5531
6. 18 ÷ 11311
7. 96 ÷ 17848
8. 62 ÷ 22931
9. 33 ÷ 7227
10. 22 ÷ 5984
11. 81 ÷ 66319
12. 46 ÷ 34288
```

But these problems seem backwards — for example, "0.1 ÷ 15677" would result in a very small number, which isn’t typical for practice problems at this level. It's more likely that the decimal numbers are actually the dividends, and the larger numbers are divisors, but the formatting is off.

Let me reinterpret the problems assuming the format is:

> Divide the decimal (on the left) by the whole number (on the right)

So let’s assume the problems are:
1. 0.1 ÷ 15677
2. 6.9 ÷ 476.79
3. 84 ÷ 59388
... etc.

Wait — some of these have decimals on both sides. Let's look again.

Alternatively, maybe the first number is the dividend, and the second is the divisor. But many of the divisors are larger than the dividends, which makes sense if we're dividing decimals.

But there's a possibility that the format is reversed — perhaps the intended problems are:

1. 15677 ÷ 0.1
2. 476.79 ÷ 6.9
3. 59388 ÷ 84
etc.

That would make more sense for "dividing decimals using long division".

Let’s test this idea.

---

Reinterpreting the Problems:



Assuming the format is: Dividend ÷ Divisor, where the first number is the dividend and the second is the divisor.

So:
1. 15677 ÷ 0.1
2. 476.79 ÷ 6.9
3. 59388 ÷ 84
4. 39744 ÷ 54
5. 5531 ÷ 18
6. 11311 ÷ 18
7. 17848 ÷ 96
8. 22931 ÷ 62
9. 7227 ÷ 33
10. 5984 ÷ 22
11. 66319 ÷ 81
12. 34288 ÷ 46

Now this makes sense — large numbers divided by smaller ones, possibly with decimals involved.

But wait — in problem 1, 15677 ÷ 0.1 → this is equivalent to multiplying by 10 → 156770.

Similarly, 476.79 ÷ 6.9 → we can simplify by moving decimals.

Let’s solve each one step-by-step.

---

Problem 1: 15677 ÷ 0.1



Dividing by 0.1 is same as multiplying by 10:

Answer: 156,770

---

Problem 2: 476.79 ÷ 6.9



To divide decimals, multiply numerator and denominator by 10 to eliminate decimal:

= 4767.9 ÷ 69

Now do long division:

69 into 476: 6 times → 6×69 = 414
Subtract: 476 - 414 = 62
Bring down 7 → 627
69 into 627: 9 times → 9×69 = 621
Subtract: 627 - 621 = 6
Bring down 9 → 69
69 into 69: 1 time → 1×69 = 69
Subtract: 0

So far: 69.1

Wait — let's track the decimal:

We had 4767.9 ÷ 69

- 69 into 476 → 6 → 6×69 = 414 → remainder 62
- Bring down 7 → 627 → 9×69 = 621 → rem 6
- Bring down 9 → 69 → 1×69 = 69 → rem 0

So quotient is 69.1

But remember: original was 476.79 ÷ 6.9 → we multiplied both by 10 → so answer is same: 69.1

Answer: 69.1

---

Problem 3: 59388 ÷ 84



Do long division:

84 into 593: 7 times → 7×84 = 588 → rem 5
Bring down 8 → 58 → 84 > 58 → 0
Bring down 8 → 588 → 7×84 = 588 → rem 0

So 707

Wait:

- 84 into 593 → 7 → 7×84 = 588 → rem 5
- Bring down 8 → 58 → less than 84 → write 0 → bring down 8 → 588
- 84 into 588 → 7 → 7×84 = 588 → rem 0

So quotient: 707

Answer: 707

---

Problem 4: 39744 ÷ 54



54 into 397: 7 times → 7×54 = 378 → rem 19
Bring down 4 → 194 → 3×54 = 162 → rem 32
Bring down 4 → 324 → 6×54 = 324 → rem 0

So: 736

Check: 736 × 54

700×54 = 37,800
36×54 = 1,944
Total: 37,800 + 1,944 = 39,744

Answer: 736

---

Problem 5: 5531 ÷ 18



18 into 55: 3 → 3×18 = 54 → rem 1
Bring down 3 → 13 → 0 → rem 13
Bring down 1 → 131 → 7×18 = 126 → rem 5

So 307 with remainder 5 → 307.277...

But let’s do decimal:

5531 ÷ 18

18 × 307 = ?

18×300 = 5,400
18×7 = 126 → total 5,526
Remainder: 5531 - 5526 = 5

Add decimal: 5.0 → 50 ÷ 18 = 2 → 36 → rem 14
140 ÷ 18 = 7 → 126 → rem 14 → repeats

So: 307.277... → repeating

But maybe round to nearest tenth?

But let’s keep exact: 307.277...

But perhaps the problem expects whole number or rounded.

Wait — maybe the original was meant to be 5.531 ÷ 18? That would make more sense.

But given the format, I think we should stick to 5531 ÷ 18

So:

Answer: 307.277... (or 307.28 rounded)

But let's check if the original problem was meant to be:

5.531 ÷ 18? Then it would be much smaller.

But since it says "divide a decimal", likely the dividend is the decimal.

Looking back at the list:

The first number seems to be the dividend, and it's often a decimal.

Wait — let's re-express the problems as they might appear:

Maybe the problems are:

1. 0.1 ÷ 15677 → very small → not useful
2. 6.9 ÷ 476.79 → also small

But that doesn't make sense for practice.

Alternatively, perhaps the decimal is the divisor, and the whole number is the dividend.

For example:

1. 15677 ÷ 0.1 → yes, as we did → 156,770

2. 476.79 ÷ 6.9 → 69.1 → done

3. 59388 ÷ 84 → 707 → done

4. 39744 ÷ 54 → 736 → done

5. 5531 ÷ 18 → 307.277... → done

6. 11311 ÷ 18 → 628.388...

Let’s do it:

18 × 628 = 18×600=10,800; 18×28=504 → total 11,304
11311 - 11304 = 7 → remainder 7 → 628.388...

7. 17848 ÷ 96

96 × 185 = ?
96×180 = 17,280
96×5 = 480 → total 17,760
17848 - 17760 = 88 → 88/96 = 11/12 ≈ 0.9167 → so ~185.9167

But let's do long division:

96 into 178 → 1 → 96 → rem 82
Bring down 4 → 824 → 8×96 = 768 → rem 56
Bring down 8 → 568 → 5×96 = 480 → rem 88
→ 185.916...

8. 22931 ÷ 62

62 × 369 = ?

62×300 = 18,600
62×60 = 3,720 → total 22,320
62×9 = 558 → total 22,320 + 558 = 22,878 → too big

Try 62×360 = 62×300=18,600; 62×60=3,720 → 22,320
22931 - 22320 = 611
62×9 = 558 → 611 - 558 = 53 → so 369 + 53/62 ≈ 369.855

So ~369.855

9. 7227 ÷ 33

33 × 219 = ?

33×200 = 6,600
33×19 = 627 → total 7,227 → perfect!

219

10. 5984 ÷ 22

22 × 272 = ?

22×200 = 4,400
22×70 = 1,540 → total 5,940
22×2 = 44 → total 5,984 → perfect!

272

11. 66319 ÷ 81

81 × 819 = ?

81×800 = 64,800
81×19 = 1,539 → total 64,800 + 1,539 = 66,339 → too big

Try 81×818 = 81×(800+18) = 64,800 + 1,458 = 66,258
66,319 - 66,258 = 61 → so 818 + 61/81 ≈ 818.753

12. 34288 ÷ 46

46 × 745 = ?

46×700 = 32,200
46×45 = 2,070 → total 34,270
34,288 - 34,270 = 18 → so 745 + 18/46 ≈ 745.391

---

Final Answers (assuming format: First number ÷ Second number):



1. 15677 ÷ 0.1 = 156,770
2. 476.79 ÷ 6.9 = 69.1
3. 59388 ÷ 84 = 707
4. 39744 ÷ 54 = 736
5. 5531 ÷ 18 = 307.277... (≈ 307.28)
6. 11311 ÷ 18 = 628.388... (≈ 628.39)
7. 17848 ÷ 96 = 185.916... (≈ 185.92)
8. 22931 ÷ 62 = 369.855... (≈ 369.86)
9. 7227 ÷ 33 = 219
10. 5984 ÷ 22 = 272
11. 66319 ÷ 81 = 818.753... (≈ 818.75)
12. 34288 ÷ 46 = 745.391... (≈ 745.39)

---

Explanation:



The key concept here is long division with decimals.

- When dividing by a decimal, convert it to a whole number by multiplying both dividend and divisor by 10, 100, etc.
- For example: 476.79 ÷ 6.9 → multiply both by 10 → 4767.9 ÷ 69
- Then perform long division as usual.
- If the dividend is smaller than the divisor, the result will be less than 1 — add a decimal point and zeros.

However, in this case, most problems are whole number ÷ decimal, which means the result is larger than the dividend.

For instance, dividing by 0.1 is the same as multiplying by 10.

---

If you can confirm the correct format (e.g., whether it's dividend ÷ divisor), I can adjust accordingly.

But based on standard practice problems, I believe my interpretation is correct.

Let me know if you want the full long division steps for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of long division worksheet 7th grade.
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