Question

use standered algorithm to fine 4184 dvided by 8

Answer 1

To divide 4184 by 8 using the standard long division algorithm, follow these steps:

1. **Set Up the Division**: Write 4184 under the long division symbol and 8 outside.

```
____________
8 | 4184
```

2. **Divide the First Digit**: Look at the first digit (4). Since 4 is less than 8, we look at the first two digits (41).

3. **Divide 41 by 8**:
- 8 goes into 41 five times (because \(8 \times 5 = 40\)).
- Write 5 above the division line.

```
5
____________
8 | 4184
-40
```

4. **Subtract**: Subtract 40 from 41 leaves you with 1.

```
5
____________
8 | 4184
-40
------
1
```

5. **Bring Down the Next Digit**: Bring down the next digit, which is 8, making it 18.

```
5
____________
8 | 4184
-40
------
18
```

6. **Divide 18 by 8**:
- 8 goes into 18 two times (because \(8 \times 2 = 16\)).
- Write 2 above the division line next to 5.

```
52
____________
8 | 4184
-40
------
18
-16
```

7. **Subtract Again**: Subtract 16 from 18 leaves you with 2.

```
52
____________
8 | 4184
-40
------
18
-16
-----
2
```

8. **Bring Down the Next Digit**: Bring down the next digit, which is 4, making it 24.

```
52
____________
8 | 4184
-40
------
18
-16
-----
24
```

9. **Divide 24 by 8**:
- 8 goes into 24 three times (because \(8 \times 3 = 24\)).
- Write 3 above the division line next to 52.

```
523
____________
8 | 4184
-40
------
18
-16
-----
24
-24
```

10. **Final Subtraction**: Subtract 24 from 24 leaves you with 0.

```
523
____________
8 | 4184
-40
------
18
-16
-----
24
-24
-----
0
```

11. **Result**: The division is complete. 4184 divided by 8 is \(523\) with a remainder of \(0\).

So, \(4184 \div 8 = 523\).