Division with Remainders Worksheet | Math | Twinkl USA - Free Printable

It looks like you've uploaded a worksheet titled "Four Digit Division with Remainders" that contains 20 long division problems, each involving dividing a four-digit number by a one- or two-digit divisor. The goal is to solve each problem and find the quotient and remainder.

Since I can't view images directly, I’ll help you solve these step-by-step based on the text you provided.

Here are the problems listed:

1. 8 | 4593
2. 5 | 3901
3. 3 | 8288
4. 6 | 1291
5. 9 | 2210
6. 5 | 8302
7. 4 | 7401
8. 9 | 3230
9. 5 | 7774
10. 6 | 8900
11. 12 | 3891
12. 17 | 5594
13. 24 | 7589
14. 31 | 8781
15. 38 | 3289
16. 46 | 4028
17. 16 | 9482
18. 56 | 8492
19. 3 | 1901
20. 4 | 9991

Let’s solve them one by one using long division.

---

1. 4593 ÷ 8

```
574
8|4593
-40
---
59
-56
---
3
```
→ 574 R3

---

2. 3901 ÷ 5

```
780
5|3901
-35
---
40
-40
---
1
```
→ 780 R1

---

3. 8288 ÷ 3

```
2762
3|8288
-6
---
22
-21
---
18
-18
---
8
-6
---
2
```
→ 2762 R2

---

4. 1291 ÷ 6

```
215
6|1291
-12
---
09
-6
---
31
-30
---
1
```
→ 215 R1

---

5. 2210 ÷ 9

```
245
9|2210
-18
---
41
-36
---
50
-45
---
5
```
→ 245 R5

---

6. 8302 ÷ 5

```
1660
5|8302
-5
---
33
-30
---
30
-30
---
2
```
→ 1660 R2

---

7. 7401 ÷ 4

```
1850
4|7401
-4
---
34
-32
---
20
-20
---
1
```
→ 1850 R1

---

8. 3230 ÷ 9

```
358
9|3230
-27
---
53
-45
---
80
-72
---
8
```
→ 358 R8

---

9. 7774 ÷ 5

```
1554
5|7774
-5
---
27
-25
---
27
-25
---
24
-20
---
4
```
→ 1554 R4

---

10. 8900 ÷ 6

```
1483
6|8900
-6
---
29
-24
---
50
-48
---
20
-18
---
2
```
→ 1483 R2

---

11. 3891 ÷ 12

```
324
12|3891
-36
---
29
-24
---
51
-48
---
3
```
→ 324 R3

---

12. 5594 ÷ 17

```
329
17|5594
-51
---
49
-34
---
154
-136
---
18
```
→ 329 R18

Wait: 17 × 329 = 5593 → So remainder is 1

Correct:
```
329
17|5594
-51
---
49
-34
---
154
-136
---
18 → but 18 > 17? No — 17×329=5593 → 5594 - 5593 = 1
```
So → 329 R1

---

13. 7589 ÷ 24

```
316
24|7589
-72
---
38
-24
---
149
-144
---
5
```
→ 316 R5

---

14. 8781 ÷ 31

```
283
31|8781
-62
---
258
-248
---
101
-93
---
8
```
→ 283 R8

---

15. 3289 ÷ 38

```
86
38|3289
-304
---
249
-228
---
21
```
→ 86 R21

---

16. 4028 ÷ 46

```
87
46|4028
-368
---
348
-322
---
26
```
→ 87 R26

---

17. 9482 ÷ 16

```
592
16|9482
-80
---
148
-144
---
42
-32
---
10
```
→ 592 R10

---

18. 8492 ÷ 56

```
151
56|8492
-56
---
289
-280
---
92
-56
---
36
```
→ 151 R36

---

19. 1901 ÷ 3

```
633
3|1901
-18
---
10
-9
---
11
-9
---
2
```
→ 633 R2

---

20. 9991 ÷ 4

```
2497
4|9991
-8
---
19
-16
---
39
-36
---
31
-28
---
3
```
→ 2497 R3

---

✔ Final Answers:

| Problem | Quotient | Remainder |
|--------|----------|-----------|
| 1. 4593 ÷ 8 | 574 | 3 |
| 2. 3901 ÷ 5 | 780 | 1 |
| 3. 8288 ÷ 3 | 2762 | 2 |
| 4. 1291 ÷ 6 | 215 | 1 |
| 5. 2210 ÷ 9 | 245 | 5 |
| 6. 8302 ÷ 5 | 1660 | 2 |
| 7. 7401 ÷ 4 | 1850 | 1 |
| 8. 3230 ÷ 9 | 358 | 8 |
| 9. 7774 ÷ 5 | 1554 | 4 |
|10. 8900 ÷ 6 | 1483 | 2 |
|11. 3891 ÷ 12 | 324 | 3 |
|12. 5594 ÷ 17 | 329 | 1 |
|13. 7589 ÷ 24 | 316 | 5 |
|14. 8781 ÷ 31 | 283 | 8 |
|15. 3289 ÷ 38 | 86 | 21 |
|16. 4028 ÷ 46 | 87 | 26 |
|17. 9482 ÷ 16 | 592 | 10 |
|18. 8492 ÷ 56 | 151 | 36 |
|19. 1901 ÷ 3 | 633 | 2 |
|20. 9991 ÷ 4 | 2497 | 3 |

---

🔍 Explanation:

Each problem uses long division to divide a four-digit number by a smaller divisor (one or two digits). The process involves:
1. Dividing the first few digits of the dividend by the divisor.
2. Multiplying the quotient digit by the divisor.
3. Subtracting and bringing down the next digit.
4. Repeating until all digits are used.
5. The final result is the quotient and any leftover is the remainder.

This helps students practice division with remainders, which is essential for building number sense and preparing for more complex math.

Let me know if you'd like this in printable format or with worked-out steps for specific problems!