Short Division (D) Dividing 4 Digit Numbers Worksheet | Key Stage ... - Free Printable

Let's solve the Short Division (D) Dividing 4-Digit Numbers worksheet step by step. This is a standard short division exercise where we divide 4-digit numbers by single-digit divisors (2, 3, or 4). We'll go through each section and provide the answers with explanations.

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🔢 Understanding Short Division

In short division:
- We divide digit by digit from left to right.
- Write the quotient above the dividend.
- Carry remainders to the next digit.
- The final answer may include a remainder.

We’ll solve each problem in order.

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## ✔ Section A

1) $ 8224 \div 2 $

- $ 8 \div 2 = 4 $
- $ 2 \div 2 = 1 $
- $ 2 \div 2 = 1 $
- $ 4 \div 2 = 2 $
✔ Answer: 4112

2) $ 6336 \div 3 $

- $ 6 \div 3 = 2 $
- $ 3 \div 3 = 1 $
- $ 3 \div 3 = 1 $
- $ 6 \div 3 = 2 $
✔ Answer: 2112

3) $ 8004 \div 4 $

- $ 8 \div 4 = 2 $
- $ 0 \div 4 = 0 $
- $ 0 \div 4 = 0 $
- $ 4 \div 4 = 1 $
✔ Answer: 2001

4) $ 9960 \div 3 $

- $ 9 \div 3 = 3 $
- $ 9 \div 3 = 3 $
- $ 6 \div 3 = 2 $
- $ 0 \div 3 = 0 $
✔ Answer: 3320

5) $ 6309 \div 3 $

- $ 6 \div 3 = 2 $
- $ 3 \div 3 = 1 $
- $ 0 \div 3 = 0 $
- $ 9 \div 3 = 3 $
✔ Answer: 2103

6) $ 4088 \div 4 $

- $ 4 \div 4 = 1 $
- $ 0 \div 4 = 0 $
- $ 8 \div 4 = 2 $
- $ 8 \div 4 = 2 $
✔ Answer: 1022

7) $ 3609 \div 3 $

- $ 3 \div 3 = 1 $
- $ 6 \div 3 = 2 $
- $ 0 \div 3 = 0 $
- $ 9 \div 3 = 3 $
✔ Answer: 1203

8) $ 8046 \div 2 $

- $ 8 \div 2 = 4 $
- $ 0 \div 2 = 0 $
- $ 4 \div 2 = 2 $
- $ 6 \div 2 = 3 $
✔ Answer: 4023

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## ✔ Section B

These are written with the dividend on top and divisor below — same process.

1) $ 3412 \div 2 $

- $ 3 \div 2 = 1 $, remainder 1 → carry over
- $ 14 \div 2 = 7 $
- $ 1 \div 2 = 0 $, remainder 1 → carry over
- $ 12 \div 2 = 6 $
✔ Answer: 1706

2) $ 1223 \div 3 $

- $ 1 \div 3 = 0 $, remainder 1 → carry over
- $ 12 \div 3 = 4 $
- $ 2 \div 3 = 0 $, remainder 2 → carry over
- $ 23 \div 3 = 7 $, remainder 2
✔ Answer: 407 r2

3) $ 1012 \div 4 $

- $ 1 \div 4 = 0 $, rem 1 → carry over
- $ 10 \div 4 = 2 $, rem 2 → carry over
- $ 21 \div 4 = 5 $, rem 1 → carry over
- $ 12 \div 4 = 3 $
✔ Answer: 253

4) $ 2103 \div 3 $

- $ 2 \div 3 = 0 $, rem 2 → carry over
- $ 21 \div 3 = 7 $
- $ 0 \div 3 = 0 $
- $ 3 \div 3 = 1 $
✔ Answer: 701

5) $ 2100 \div 4 $

- $ 2 \div 4 = 0 $, rem 2 → carry over
- $ 21 \div 4 = 5 $, rem 1 → carry over
- $ 10 \div 4 = 2 $, rem 2 → carry over
- $ 20 \div 4 = 5 $
✔ Answer: 525

6) $ 2034 \div 2 $

- $ 2 \div 2 = 1 $
- $ 0 \div 2 = 0 $
- $ 3 \div 2 = 1 $, rem 1 → carry over
- $ 14 \div 2 = 7 $
✔ Answer: 1017

7) $ 2031 \div 3 $

- $ 2 \div 3 = 0 $, rem 2 → carry over
- $ 20 \div 3 = 6 $, rem 2 → carry over
- $ 23 \div 3 = 7 $, rem 2 → carry over
- $ 21 \div 3 = 7 $
✔ Answer: 677

8) $ 1032 \div 2 $

- $ 1 \div 2 = 0 $, rem 1 → carry over
- $ 10 \div 2 = 5 $
- $ 3 \div 2 = 1 $, rem 1 → carry over
- $ 12 \div 2 = 6 $
✔ Answer: 516

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## ✔ Section C

1) $ 1242 \div 2 $

- $ 1 \div 2 = 0 $, rem 1 → carry over
- $ 12 \div 2 = 6 $
- $ 4 \div 2 = 2 $
- $ 2 \div 2 = 1 $
✔ Answer: 621

2) $ 6129 \div 3 $

- $ 6 \div 3 = 2 $
- $ 1 \div 3 = 0 $, rem 1 → carry over
- $ 12 \div 3 = 4 $
- $ 9 \div 3 = 3 $
✔ Answer: 2043

3) $ 4208 \div 4 $

- $ 4 \div 4 = 1 $
- $ 2 \div 4 = 0 $, rem 2 → carry over
- $ 20 \div 4 = 5 $
- $ 8 \div 4 = 2 $
✔ Answer: 1052

4) $ 1506 \div 3 $

- $ 1 \div 3 = 0 $, rem 1 → carry over
- $ 15 \div 3 = 5 $
- $ 0 \div 3 = 0 $
- $ 6 \div 3 = 2 $
✔ Answer: 502

5) $ 9276 \div 3 $

- $ 9 \div 3 = 3 $
- $ 2 \div 3 = 0 $, rem 2 → carry over
- $ 27 \div 3 = 9 $
- $ 6 \div 3 = 2 $
✔ Answer: 3092

6) $ 8128 \div 4 $

- $ 8 \div 4 = 2 $
- $ 1 \div 4 = 0 $, rem 1 → carry over
- $ 12 \div 4 = 3 $
- $ 8 \div 4 = 2 $
✔ Answer: 2032

7) $ 9618 \div 3 $

- $ 9 \div 3 = 3 $
- $ 6 \div 3 = 2 $
- $ 1 \div 3 = 0 $, rem 1 → carry over
- $ 18 \div 3 = 6 $
✔ Answer: 3206

8) $ 1848 \div 2 $

- $ 1 \div 2 = 0 $, rem 1 → carry over
- $ 18 \div 2 = 9 $
- $ 4 \div 2 = 2 $
- $ 8 \div 2 = 4 $
✔ Answer: 924

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## ✔ Section D

Note: Some numbers have leading zeros (e.g., 0634), which is just for formatting.

1) $ 634 \div 2 $ (ignoring leading zero)

- $ 6 \div 2 = 3 $
- $ 3 \div 2 = 1 $, rem 1 → carry over
- $ 14 \div 2 = 7 $
✔ Answer: 317

2) $ 520 \div 3 $

- $ 5 \div 3 = 1 $, rem 2 → carry over
- $ 22 \div 3 = 7 $, rem 1 → carry over
- $ 10 \div 3 = 3 $, rem 1
✔ Answer: 173 r1

3) $ 2071 \div 4 $

- $ 2 \div 4 = 0 $, rem 2 → carry over
- $ 20 \div 4 = 5 $
- $ 7 \div 4 = 1 $, rem 3 → carry over
- $ 31 \div 4 = 7 $, rem 3
✔ Answer: 517 r3

4) $ 3205 \div 3 $

- $ 3 \div 3 = 1 $
- $ 2 \div 3 = 0 $, rem 2 → carry over
- $ 20 \div 3 = 6 $, rem 2 → carry over
- $ 25 \div 3 = 8 $, rem 1
✔ Answer: 1068 r1

5) $ 1003 \div 4 $

- $ 1 \div 4 = 0 $, rem 1 → carry over
- $ 10 \div 4 = 2 $, rem 2 → carry over
- $ 20 \div 4 = 5 $
- $ 3 \div 4 = 0 $, rem 3
✔ Answer: 250 r3

6) $ 923 \div 2 $

- $ 9 \div 2 = 4 $, rem 1 → carry over
- $ 12 \div 2 = 6 $
- $ 3 \div 2 = 1 $, rem 1
✔ Answer: 461 r1

7) $ 3201 \div 3 $

- $ 3 \div 3 = 1 $
- $ 2 \div 3 = 0 $, rem 2 → carry over
- $ 20 \div 3 = 6 $, rem 2 → carry over
- $ 21 \div 3 = 7 $
✔ Answer: 1067

8) $ 843 \div 2 $

- $ 8 \div 2 = 4 $
- $ 4 \div 2 = 2 $
- $ 3 \div 2 = 1 $, rem 1
✔ Answer: 421 r1

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## ✔ Section E

1) $ 1554 \div 2 $

- $ 1 \div 2 = 0 $, rem 1 → carry over
- $ 15 \div 2 = 7 $, rem 1 → carry over
- $ 15 \div 2 = 7 $, rem 1 → carry over
- $ 14 \div 2 = 7 $
✔ Answer: 777

2) $ 4869 \div 3 $

- $ 4 \div 3 = 1 $, rem 1 → carry over
- $ 18 \div 3 = 6 $
- $ 6 \div 3 = 2 $
- $ 9 \div 3 = 3 $
✔ Answer: 1623

3) $ 3364 \div 4 $

- $ 3 \div 4 = 0 $, rem 3 → carry over
- $ 33 \div 4 = 8 $, rem 1 → carry over
- $ 16 \div 4 = 4 $
- $ 4 \div 4 = 1 $
✔ Answer: 841

4) $ 1980 \div 3 $

- $ 1 \div 3 = 0 $, rem 1 → carry over
- $ 19 \div 3 = 6 $, rem 1 → carry over
- $ 18 \div 3 = 6 $
- $ 0 \div 3 = 0 $
✔ Answer: 660

5) $ 2829 \div 3 $

- $ 2 \div 3 = 0 $, rem 2 → carry over
- $ 28 \div 3 = 9 $, rem 1 → carry over
- $ 12 \div 3 = 4 $
- $ 9 \div 3 = 3 $
✔ Answer: 943

6) $ 2680 \div 3 $

- $ 2 \div 3 = 0 $, rem 2 → carry over
- $ 26 \div 3 = 8 $, rem 2 → carry over
- $ 28 \div 3 = 9 $, rem 1 → carry over
- $ 10 \div 3 = 3 $, rem 1
✔ Answer: 893 r1

7) $ 2916 \div 3 $

- $ 2 \div 3 = 0 $, rem 2 → carry over
- $ 29 \div 3 = 9 $, rem 2 → carry over
- $ 21 \div 3 = 7 $
- $ 6 \div 3 = 2 $
✔ Answer: 972

8) $ 1534 \div 2 $

- $ 1 \div 2 = 0 $, rem 1 → carry over
- $ 15 \div 2 = 7 $, rem 1 → carry over
- $ 13 \div 2 = 6 $, rem 1 → carry over
- $ 14 \div 2 = 7 $
✔ Answer: 767

9) $ 1916 \div 2 $

- $ 1 \div 2 = 0 $, rem 1 → carry over
- $ 19 \div 2 = 9 $, rem 1 → carry over
- $ 11 \div 2 = 5 $, rem 1 → carry over
- $ 16 \div 2 = 8 $
✔ Answer: 958

10) $ 1077 \div 3 $

- $ 1 \div 3 = 0 $, rem 1 → carry over
- $ 10 \div 3 = 3 $, rem 1 → carry over
- $ 17 \div 3 = 5 $, rem 2 → carry over
- $ 27 \div 3 = 9 $
✔ Answer: 359

11) $ 1124 \div 4 $

- $ 1 \div 4 = 0 $, rem 1 → carry over
- $ 11 \div 4 = 2 $, rem 3 → carry over
- $ 32 \div 4 = 8 $
- $ 4 \div 4 = 1 $
✔ Answer: 281

12) $ 1152 \div 2 $

- $ 1 \div 2 = 0 $, rem 1 → carry over
- $ 11 \div 2 = 5 $, rem 1 → carry over
- $ 15 \div 2 = 7 $, rem 1 → carry over
- $ 12 \div 2 = 6 $
✔ Answer: 576

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## 📝 Final Answers Summary

Section A

1. 4112
2. 2112
3. 2001
4. 3320
5. 2103
6. 1022
7. 1203
8. 4023

Section B

1. 1706
2. 407 r2
3. 253
4. 701
5. 525
6. 1017
7. 677
8. 516

Section C

1. 621
2. 2043
3. 1052
4. 502
5. 3092
6. 2032
7. 3206
8. 924

Section D

1. 317
2. 173 r1
3. 517 r3
4. 1068 r1
5. 250 r3
6. 461 r1
7. 1067
8. 421 r1

Section E

1. 777
2. 1623
3. 841
4. 660
5. 943
6. 893 r1
7. 972
8. 767
9. 958
10. 359
11. 281
12. 576

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✔ All problems solved using short division method.
If you need a visual representation of any specific one, let me know!