Answer :
Sure! Let's go through the steps to perform long division for dividing 1658 by 25 and find the quotient and remainder.
1. Set up the division problem:
We are dividing 1658 by 25.
2. Determine how many times 25 goes into the first digits of the dividend (1658):
- First, consider the number formed by the first two digits, 16. Since 16 is less than 25, we can't divide 25 into 16.
- Next, consider the first three digits, 165. Determine how many times 25 goes into 165.
- 25 goes into 165 six times because [tex]\( 6 \times 25 = 150 \)[/tex] and [tex]\( 7 \times 25 = 175 \)[/tex], which is greater than 165.
3. Subtract the result from these digits:
- Subtract [tex]\( 150 \)[/tex] from [tex]\( 165 \)[/tex], which leaves a remainder of [tex]\( 15 \)[/tex].
- Bring down the next digit from 1658 to make it 158.
4. Determine how many times 25 can go into 158:
- 25 goes into 158 six times because [tex]\( 6 \times 25 = 150 \)[/tex].
- Subtract [tex]\( 150 \)[/tex] from [tex]\( 158 \)[/tex], which leaves a remainder of [tex]\( 8 \)[/tex].
Now, the division is complete. The quotient obtained is 66 and the remainder is 8.
5. Express the answer as a mixed number:
The result of the division 1658 by 25 is [tex]\( 66 \frac{8}{25} \)[/tex].
So, the final answer is:
- Quotient: 66
- Remainder: 8
- As a mixed number: [tex]\( 66 \frac{8}{25} \)[/tex]
I hope this helps! Let me know if you have any questions.
1. Set up the division problem:
We are dividing 1658 by 25.
2. Determine how many times 25 goes into the first digits of the dividend (1658):
- First, consider the number formed by the first two digits, 16. Since 16 is less than 25, we can't divide 25 into 16.
- Next, consider the first three digits, 165. Determine how many times 25 goes into 165.
- 25 goes into 165 six times because [tex]\( 6 \times 25 = 150 \)[/tex] and [tex]\( 7 \times 25 = 175 \)[/tex], which is greater than 165.
3. Subtract the result from these digits:
- Subtract [tex]\( 150 \)[/tex] from [tex]\( 165 \)[/tex], which leaves a remainder of [tex]\( 15 \)[/tex].
- Bring down the next digit from 1658 to make it 158.
4. Determine how many times 25 can go into 158:
- 25 goes into 158 six times because [tex]\( 6 \times 25 = 150 \)[/tex].
- Subtract [tex]\( 150 \)[/tex] from [tex]\( 158 \)[/tex], which leaves a remainder of [tex]\( 8 \)[/tex].
Now, the division is complete. The quotient obtained is 66 and the remainder is 8.
5. Express the answer as a mixed number:
The result of the division 1658 by 25 is [tex]\( 66 \frac{8}{25} \)[/tex].
So, the final answer is:
- Quotient: 66
- Remainder: 8
- As a mixed number: [tex]\( 66 \frac{8}{25} \)[/tex]
I hope this helps! Let me know if you have any questions.
