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Division Worksheet #2 featuring 12 long division problems for practice.

Division worksheet with 12 problems, each requiring division of a four-digit number by a two-digit number, presented in a structured format with a decorative border and logo in the top left corner.

Division worksheet with 12 problems, each requiring division of a four-digit number by a two-digit number, presented in a structured format with a decorative border and logo in the top left corner.

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Show Answer Key & Explanations Step-by-step solution for: Grade 4 Maths Resources (1.7.4 Division of 4 Digit Number by a ...

Problem: Division Worksheet


The task is to solve the division problems provided in the worksheet. Below, I will solve each problem step by step.

---

1) 34 ÷ 4259


- Dividend: 4259
- Divisor: 34

#### Solution:
1. Determine how many times 34 fits into 4259.
2. Perform long division:

```
4259 ÷ 34 = 125 R 9
```

- 34 goes into 42 once (34 × 1 = 34).
- Subtract: 42 - 34 = 8.
- Bring down the next digit (5): 85.
- 34 goes into 85 twice (34 × 2 = 68).
- Subtract: 85 - 68 = 17.
- Bring down the next digit (9): 179.
- 34 goes into 179 five times (34 × 5 = 170).
- Subtract: 179 - 170 = 9.

Quotient: 125
Remainder: 9

Answer: \( \boxed{125 \text{ R } 9} \)

---

2) 19 ÷ 7098


- Dividend: 7098
- Divisor: 19

#### Solution:
1. Determine how many times 19 fits into 7098.
2. Perform long division:

```
7098 ÷ 19 = 373 R 11
```

- 19 goes into 70 three times (19 × 3 = 57).
- Subtract: 70 - 57 = 13.
- Bring down the next digit (9): 139.
- 19 goes into 139 seven times (19 × 7 = 133).
- Subtract: 139 - 133 = 6.
- Bring down the next digit (8): 68.
- 19 goes into 68 three times (19 × 3 = 57).
- Subtract: 68 - 57 = 11.

Quotient: 373
Remainder: 11

Answer: \( \boxed{373 \text{ R } 11} \)

---

3) 45 ÷ 2094


- Dividend: 2094
- Divisor: 45

#### Solution:
1. Determine how many times 45 fits into 2094.
2. Perform long division:

```
2094 ÷ 45 = 46 R 24
```

- 45 goes into 209 four times (45 × 4 = 180).
- Subtract: 209 - 180 = 29.
- Bring down the next digit (4): 294.
- 45 goes into 294 six times (45 × 6 = 270).
- Subtract: 294 - 270 = 24.

Quotient: 46
Remainder: 24

Answer: \( \boxed{46 \text{ R } 24} \)

---

4) 27 ÷ 8846


- Dividend: 8846
- Divisor: 27

#### Solution:
1. Determine how many times 27 fits into 8846.
2. Perform long division:

```
8846 ÷ 27 = 327 R 17
```

- 27 goes into 88 three times (27 × 3 = 81).
- Subtract: 88 - 81 = 7.
- Bring down the next digit (4): 74.
- 27 goes into 74 two times (27 × 2 = 54).
- Subtract: 74 - 54 = 20.
- Bring down the next digit (6): 206.
- 27 goes into 206 seven times (27 × 7 = 189).
- Subtract: 206 - 189 = 17.

Quotient: 327
Remainder: 17

Answer: \( \boxed{327 \text{ R } 17} \)

---

5) 36 ÷ 3231


- Dividend: 3231
- Divisor: 36

#### Solution:
1. Determine how many times 36 fits into 3231.
2. Perform long division:

```
3231 ÷ 36 = 89 R 27
```

- 36 goes into 32 zero times (not possible, so consider 323).
- 36 goes into 323 eight times (36 × 8 = 288).
- Subtract: 323 - 288 = 35.
- Bring down the next digit (1): 351.
- 36 goes into 351 nine times (36 × 9 = 324).
- Subtract: 351 - 324 = 27.

Quotient: 89
Remainder: 27

Answer: \( \boxed{89 \text{ R } 27} \)

---

6) 12 ÷ 4945


- Dividend: 4945
- Divisor: 12

#### Solution:
1. Determine how many times 12 fits into 4945.
2. Perform long division:

```
4945 ÷ 12 = 412 R 1
```

- 12 goes into 49 four times (12 × 4 = 48).
- Subtract: 49 - 48 = 1.
- Bring down the next digit (4): 14.
- 12 goes into 14 one time (12 × 1 = 12).
- Subtract: 14 - 12 = 2.
- Bring down the next digit (5): 25.
- 12 goes into 25 two times (12 × 2 = 24).
- Subtract: 25 - 24 = 1.

Quotient: 412
Remainder: 1

Answer: \( \boxed{412 \text{ R } 1} \)

---

7) 32 ÷ 2063


- Dividend: 2063
- Divisor: 32

#### Solution:
1. Determine how many times 32 fits into 2063.
2. Perform long division:

```
2063 ÷ 32 = 64 R 15
```

- 32 goes into 20 zero times (not possible, so consider 206).
- 32 goes into 206 six times (32 × 6 = 192).
- Subtract: 206 - 192 = 14.
- Bring down the next digit (3): 143.
- 32 goes into 143 four times (32 × 4 = 128).
- Subtract: 143 - 128 = 15.

Quotient: 64
Remainder: 15

Answer: \( \boxed{64 \text{ R } 15} \)

---

8) 20 ÷ 6108


- Dividend: 6108
- Divisor: 20

#### Solution:
1. Determine how many times 20 fits into 6108.
2. Perform long division:

```
6108 ÷ 20 = 305 R 8
```

- 20 goes into 61 three times (20 × 3 = 60).
- Subtract: 61 - 60 = 1.
- Bring down the next digit (0): 10.
- 20 goes into 10 zero times (not possible, so consider 108).
- 20 goes into 108 five times (20 × 5 = 100).
- Subtract: 108 - 100 = 8.

Quotient: 305
Remainder: 8

Answer: \( \boxed{305 \text{ R } 8} \)

---

9) 16 ÷ 7721


- Dividend: 7721
- Divisor: 16

#### Solution:
1. Determine how many times 16 fits into 7721.
2. Perform long division:

```
7721 ÷ 16 = 482 R 9
```

- 16 goes into 77 four times (16 × 4 = 64).
- Subtract: 77 - 64 = 13.
- Bring down the next digit (2): 132.
- 16 goes into 132 eight times (16 × 8 = 128).
- Subtract: 132 - 128 = 4.
- Bring down the next digit (1): 41.
- 16 goes into 41 two times (16 × 2 = 32).
- Subtract: 41 - 32 = 9.

Quotient: 482
Remainder: 9

Answer: \( \boxed{482 \text{ R } 9} \)

---

10) 19 ÷ 1094


- Dividend: 1094
- Divisor: 19

#### Solution:
1. Determine how many times 19 fits into 1094.
2. Perform long division:

```
1094 ÷ 19 = 57 R 11
```

- 19 goes into 10 zero times (not possible, so consider 109).
- 19 goes into 109 five times (19 × 5 = 95).
- Subtract: 109 - 95 = 14.
- Bring down the next digit (4): 144.
- 19 goes into 144 seven times (19 × 7 = 133).
- Subtract: 144 - 133 = 11.

Quotient: 57
Remainder: 11

Answer: \( \boxed{57 \text{ R } 11} \)

---

11) 53 ÷ 1950


- Dividend: 1950
- Divisor: 53

#### Solution:
1. Determine how many times 53 fits into 1950.
2. Perform long division:

```
1950 ÷ 53 = 36 R 42
```

- 53 goes into 19 zero times (not possible, so consider 195).
- 53 goes into 195 three times (53 × 3 = 159).
- Subtract: 195 - 159 = 36.
- Bring down the next digit (0): 360.
- 53 goes into 360 six times (53 × 6 = 318).
- Subtract: 360 - 318 = 42.

Quotient: 36
Remainder: 42

Answer: \( \boxed{36 \text{ R } 42} \)

---

12) 25 ÷ 5604


- Dividend: 5604
- Divisor: 25

#### Solution:
1. Determine how many times 25 fits into 5604.
2. Perform long division:

```
5604 ÷ 25 = 224 R 4
```

- 25 goes into 56 two times (25 × 2 = 50).
- Subtract: 56 - 50 = 6.
- Bring down the next digit (0): 60.
- 25 goes into 60 two times (25 × 2 = 50).
- Subtract: 60 - 50 = 10.
- Bring down the next digit (4): 104.
- 25 goes into 104 four times (25 × 4 = 100).
- Subtract: 104 - 100 = 4.

Quotient: 224
Remainder: 4

Answer: \( \boxed{224 \text{ R } 4} \)

---

Final Answers:


1. \( \boxed{125 \text{ R } 9} \)
2. \( \boxed{373 \text{ R } 11} \)
3. \( \boxed{46 \text{ R } 24} \)
4. \( \boxed{327 \text{ R } 17} \)
5. \( \boxed{89 \text{ R } 27} \)
6. \( \boxed{412 \text{ R } 1} \)
7. \( \boxed{64 \text{ R } 15} \)
8. \( \boxed{305 \text{ R } 8} \)
9. \( \boxed{482 \text{ R } 9} \)
10. \( \boxed{57 \text{ R } 11} \)
11. \( \boxed{36 \text{ R } 42} \)
12. \( \boxed{224 \text{ R } 4} \)
Parent Tip: Review the logic above to help your child master the concept of four digit division worksheet.
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