To perform the long division of 89678 by 7, follow these step-by-step instructions:
1. Start with the first digit (8):
- 7 goes into 8 one time. Write 1 above the 8.
- Multiply 1 by 7 to get 7.
- Subtract 7 from 8 to get a remainder of 1.
```
__1_____
7 | 89678
-7
--
1
```
2. Bring down the next digit (9):
- The new number is 19.
- 7 goes into 19 two times. Write 2 above the 9.
- Multiply 2 by 7 to get 14.
- Subtract 14 from 19 to get a remainder of 5.
```
__12____
7 | 89678
-7
--
19
-14
--
5
```
3. Bring down the next digit (6):
- The new number is 56.
- 7 goes into 56 eight times. Write 8 above the 6.
- Multiply 8 by 7 to get 56.
- Subtract 56 from 56 to get a remainder of 0.
```
__128___
7 | 89678
-7
--
19
-14
--
56
-56
--
0
```
4. Bring down the next digit (7):
- The new number is 7.
- 7 goes into 7 one time. Write 1 above the 7.
- Multiply 1 by 7 to get 7.
- Subtract 7 from 7 to get a remainder of 0.
```
__1281__
7 | 89678
-7
--
19
-14
--
56
-56
--
7
-7
--
0
```
5. Bring down the last digit (8):
- The new number is 8.
- 7 goes into 8 one time. Write 1 above the 8.
- Multiply 1 by 7 to get 7.
- Subtract 7 from 8 to get a remainder of 1.
```
__12811
7 | 89678
-7
--
19
-14
--
56
-56
--
7
-7
--
8
-7
--
1
```
Thus, the quotient is 12811 and the remainder is 1.
