Long Division Worksheets: Division with Multi-Digit Divisors - Free Printable

It looks like you've uploaded an image of a math worksheet titled "Answer Key" from Dad'sWorksheets.com, which contains long division problems with their solutions. However, the actual task or question you want me to solve isn't clearly stated in your message.

Let me analyze what’s on the page:

---

🔍 What's in the Image?

The worksheet shows 10 long division problems, all solved without remainders (as indicated by "Division without Remainders"). Each problem is formatted as:

```
Quotient
Divisor | Dividend
-...
...
0
```

Here are the problems and their answers:

1. `32 ÷ 11 = 3` (remainder 0) → 11 × 3 = 33
2. `37 ÷ 46 = 0` → Wait — this seems incorrect. Let's double-check.

Wait — actually, looking closely:

These are all long division problems, so let's list them properly:

1. `32 ÷ 11` → Actually, it's written as:
```
3
11|32
-33 ← This can’t be right.
```

Wait — there's an error here.

Let’s go through each one carefully.

---

✔ Correcting the Problems

Let’s examine each problem from the image and verify correctness.

---

#### 1. `11 | 32` → Answer shown: 3
But:
- 11 × 3 = 33 > 32 → too big
- 11 × 2 = 22 → 32 − 22 = 10 → remainder 10

So this is wrong.

But the answer key shows:
```
3
11|32
-33
-1
```
Wait — that doesn’t make sense. It says 3 × 11 = 33? But 33 > 32.

This appears to be a mistake in the answer key.

Wait — perhaps I'm misreading.

Actually, looking at the layout:

It says:
```
32
11|32
-33
-1
```

No — that’s not standard notation.

Wait — no, the correct format is:

```
3
11|32
-33
-1
```

But 3×11=33, and 33>32 → impossible.

So either:
- The problem is 33 ÷ 11 = 3, or
- There’s a typo.

Looking at the next one:

---

#### 2. `46 | 37` → Answer: 0
- 46 > 37 → quotient = 0 → correct
- 46 × 0 = 0 → 37 - 0 = 37 → remainder 37
But the answer key shows:
```
0
46|37
-0
37
```
But then it says “no remainder” — but there is a remainder.

Wait — the title says "Division without Remainders", so all these must have exact divisions.

But many of these don’t divide evenly.

Let’s re-express each problem correctly.

---

Let me list all 10 problems from the image:

1. `11 | 32` → 32 ÷ 11 = 2 R10 → not exact → ✘
2. `46 | 37` → 37 ÷ 46 = 0 R37 → ✘
3. `14 | 49` → 49 ÷ 14 = 3.5 → not integer → ✘
4. `14 | 206` → 206 ÷ 14 = 14.71… → not exact → ✘
5. `37 | 220` → 220 ÷ 37 ≈ 5.94 → not exact → ✘
6. `32 | 3072` → 3072 ÷ 32 = ? Let’s compute:
32 × 96 = 3072 → yes! So 96 → ✔
7. `47 | 170` → 170 ÷ 47 ≈ 3.6 → 47×3=141, 170−141=29 → R29 → ✘
8. `26 | 975` → 26 × 37 = 962, 975−962=13 → R13 → ✘
9. `21 | 714` → 21 × 34 = 714 → ✔
10. `22 | 225` → 22 × 10 = 220, 225−220=5 → R5 → ✘

Only two seem correct: #6 and #9.

But the worksheet says "Division without Remainders", so all should be exact.

Wait — maybe I’m reading the dividends wrong.

Let me look again at the image.

Actually, upon closer inspection, the first few problems might be misaligned.

Let me reconstruct based on the correct formatting:

---

Reconstructing the Problems Accurately

Looking at the layout:

1. `11 | 32` → but quotient is 3 → 11×3=33 → too big → invalid
2. `46 | 37` → quotient 0 → okay, but remainder 37 → not zero
3. `14 | 49` → 14×3=42, 49−42=7 → remainder 7 → not zero
4. `14 | 206` → 14×14=196, 206−196=10 → remainder 10 → no
5. `37 | 220` → 37×5=185, 37×6=222 > 220 → remainder 35 → no
6. `32 | 3072` → 32×96=3072 → ✔
7. `47 | 170` → 47×3=141, 170−141=29 → no
8. `26 | 975` → 26×37=962, 975−962=13 → no
9. `21 | 714` → 21×34=714 → ✔
10. `22 | 225` → 22×10=220, 225−220=5 → no

Only two are valid: 6 and 9.

But the answer key shows 10 problems, and it’s labeled "Answer Key".

Possibility: These are not the original problems, but rather examples of how to do long division, and the student is supposed to solve them.

But the title says: "Check without Remainders" — meaning: check if they divide evenly.

Alternatively, maybe the dividends are larger than shown.

Wait — look at problem 4:

```
19
14|206
-14
66
-56
10
```

Wait — that’s not matching.

Actually, looking at the layout:

Problem 4:
```
19
14|206
-14
66
-56
10
```

But 14×19 = 266 ≠ 206 → wrong.

Wait — 14×14 = 196 → 206−196=10 → so quotient should be 14, not 19.

So the answer key has errors.

Similarly, problem 5:
```
60
37|220
-222
-2
```

37×60 = 2220 ≠ 220 → clearly wrong.

Ah! I think I see the issue.

🚨 Critical Observation

Many of the numbers are misplaced due to poor formatting.

Let’s read the problems with proper alignment.

From the image:

1. `11 | 32` → 32 ÷ 11 → not divisible → but answer key says quotient 3 → wrong
2. `46 | 37` → 37 ÷ 46 → quotient 0 → correct
3. `14 | 49` → 49 ÷ 14 → 3.5 → not integer → but answer key says 3? No, it shows:
```
3
14|49
-42
7
```
→ remainder 7 → not zero

But the worksheet says "without remainders", so only problems where division is exact should be included.

But none of these work except:

- `32 | 3072` → 3072 ÷ 32 = 96 → ✔
- `21 | 714` → 714 ÷ 21 = 34 → ✔

Wait — what about `47 | 170`? 170 ÷ 47 = 3.617 → no

But look at problem 7:

```
10
47|170
-47
123
-123
0
```

Wait — 47 × 10 = 470 ≠ 170 → impossible

But 47 × 3 = 141, 170 − 141 = 29 → not zero

But the answer key shows:
```
10
47|170
-47
123
-123
0
```

That implies 47 × 10 = 470, but 470 > 170 → nonsense.

Wait — unless the dividend is 1700?

But it's written as 170.

Wait — maybe the numbers are misaligned.

Look at problem 8:

```
39
26|975
-26
71
-78
-7
```

26 × 39 = 1014 ≠ 975 → no

But 26 × 37 = 962, 975 − 962 = 13 → not zero

But the answer key shows:
```
39
26|975
-26
71
-78
-7
```

That’s not possible.

Wait — perhaps the dividend is 975, and divisor is 26.

Let’s compute 975 ÷ 26:

26 × 37 = 962 → 975 − 962 = 13 → remainder 13 → not zero

So none of these are exact.

But the worksheet says "without remainders", so something is wrong.

Wait — perhaps the problems are not what they appear.

Let me try to interpret the actual intended problems.

Looking at the first one:

```
32
11|32
-33
-1
```

No — that can’t be.

Wait — maybe the quotient is 2, and remainder 10?

But it shows 3.

I think the answer key is for a different set of problems.

Alternatively, perhaps the worksheet is designed to test students' ability to spot errors.

But you said: *"I uploaded an image with a task, solve the problem and explain the solution."*

So perhaps the task is to identify the errors in the answer key.

---

✔ Most Likely Task

Given the context, the intended task is likely:

> Identify which of these long division problems are solved correctly, and fix the ones that aren't.

Since the worksheet is titled "Answer Key", but many of the divisions are incorrect or have remainders, the real task may be to verify the correctness of the solutions.

---

✔ Step-by-step Verification

Let’s go through each problem and check:

---

1. `11 | 32`
- 11 × 3 = 33 > 32 → invalid
- Correct: 32 ÷ 11 = 2 R10 → Incorrect

2. `46 | 37`
- 46 > 37 → quotient = 0
- 46 × 0 = 0 → remainder 37 → but problem says "no remainder" → Incorrect

3. `14 | 49`
- 14 × 3 = 42, 49 − 42 = 7 → remainder 7 → Incorrect

4. `14 | 206`
- 14 × 14 = 196, 206 − 196 = 10 → remainder 10 → Incorrect

5. `37 | 220`
- 37 × 5 = 185, 220 − 185 = 35 → remainder 35 → Incorrect

6. `32 | 3072`
- 32 × 96 = 3072 → yes → Correct

7. `47 | 170`
- 47 × 3 = 141, 170 − 141 = 29 → remainder 29 → Incorrect

8. `26 | 975`
- 26 × 37 = 962, 975 − 962 = 13 → remainder 13 → Incorrect

9. `21 | 714`
- 21 × 34 = 714 → yes → Correct

10. `22 | 225`
- 22 × 10 = 220, 225 − 220 = 5 → remainder 5 → Incorrect

---

✔ Final Answer

Only two problems are correct:

- `32 | 3072` → quotient = 96
- `21 | 714` → quotient = 34

All others are incorrect due to:
- Incorrect quotients
- Non-zero remainders
- Arithmetic errors

---

🛠️ Possible Student Task

If this were a student worksheet, the task might be:

> Check each division problem. Circle the ones that are correct. Fix the ones that are wrong.

Or:

> Explain why the answer key is wrong.

---

✔ Conclusion

The answer key contains multiple errors. Only two of the ten problems are solved correctly:

1. `3072 ÷ 32 = 96` ✔
2. `714 ÷ 21 = 34` ✔

All others have either:
- Wrong quotients
- Remainders when they shouldn't have
- Arithmetic mistakes

Thus, the main task is to identify and correct the errors in the provided "answer key."

---

If you have a specific question about one of the problems, please clarify, and I’ll solve it step by step.