Question
Use long division to find the quotient and check.
StartLongDivision 8 DividedInto 681 EndLongDivision
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A.
The quotient does not have a remainder. The quotient is
enter your response here.
B.
The quotient has a remainder not equal to zero. The quotient is
enter your response here R
enter your response here.
C.
The quotient is undefined.
StartLongDivision 8 DividedInto 681 EndLongDivision
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A.
The quotient does not have a remainder. The quotient is
enter your response here.
B.
The quotient has a remainder not equal to zero. The quotient is
enter your response here R
enter your response here.
C.
The quotient is undefined.
Answers
GPT-4o mini
To divide \( 681 \) by \( 8 \) using long division:
1. Determine how many times \( 8 \) can fit into the first digit(s) of \( 681 \):
- \( 8 \) fits into \( 6 \) **0** times.
- Look at the first two digits, \( 68 \). \( 8 \) fits into \( 68 \) **8** times (since \( 8 \times 8 = 64 \)).
2. Write \( 8 \) above the line:
```
8
__________
8 | 681
- 64
__________
41
```
3. Bring down the next digit, \( 1 \) (from \( 681 \)), making it \( 41 \).
4. Determine how many times \( 8 \) fits into \( 41 \):
- \( 8 \) fits into \( 41 \) **5** times (since \( 8 \times 5 = 40 \)).
5. Write \( 5 \) above the line next to \( 8 \):
```
85
__________
8 | 681
- 64
__________
41
- 40
__________
1
```
6. Subtract \( 40 \) from \( 41 \), which leaves \( 1 \).
Since there are no more digits to bring down, we are left with \( 1 \) as the remainder.
Thus, the quotient is \( 85 \) with a remainder of \( 1 \).
### Final Result:
**The quotient has a remainder not equal to zero. The quotient is** \( 85 \) **R** \( 1 \).
### Answer:
**B. The quotient has a remainder not equal to zero. The quotient is 85 R 1.**
1. Determine how many times \( 8 \) can fit into the first digit(s) of \( 681 \):
- \( 8 \) fits into \( 6 \) **0** times.
- Look at the first two digits, \( 68 \). \( 8 \) fits into \( 68 \) **8** times (since \( 8 \times 8 = 64 \)).
2. Write \( 8 \) above the line:
```
8
__________
8 | 681
- 64
__________
41
```
3. Bring down the next digit, \( 1 \) (from \( 681 \)), making it \( 41 \).
4. Determine how many times \( 8 \) fits into \( 41 \):
- \( 8 \) fits into \( 41 \) **5** times (since \( 8 \times 5 = 40 \)).
5. Write \( 5 \) above the line next to \( 8 \):
```
85
__________
8 | 681
- 64
__________
41
- 40
__________
1
```
6. Subtract \( 40 \) from \( 41 \), which leaves \( 1 \).
Since there are no more digits to bring down, we are left with \( 1 \) as the remainder.
Thus, the quotient is \( 85 \) with a remainder of \( 1 \).
### Final Result:
**The quotient has a remainder not equal to zero. The quotient is** \( 85 \) **R** \( 1 \).
### Answer:
**B. The quotient has a remainder not equal to zero. The quotient is 85 R 1.**