Answer :
Sure, let's go through the steps of dividing 1658 by 25 using long division:
1. Set up the division: We want to divide 1658 by 25. Set this up as a long division problem.
2. Divide 25 into 165: First, we look at the first three digits of 1658, which are 165. Determine how many times 25 goes into 165.
- 25 multiplied by 6 equals 150.
- 25 multiplied by 7 equals 175, which is too large.
So, 25 goes into 165 six times. Write 6 above the 165.
3. Multiply and subtract: Multiply 6 by 25 to get 150. Subtract 150 from 165 to get a remainder of 15.
4. Bring down the next digit: Bring down the next digit, 8, to make 158.
5. Divide 25 into 158: Now, determine how many times 25 can go into 158.
- 25 multiplied by 6 equals 150.
So, 25 goes into 158 six times. Write 6 above the 8 you just brought down.
6. Multiply and subtract: Multiply 6 by 25 to get 150. Subtract 150 from 158 to get a remainder of 8.
The quotient is 66 with a remainder of 8. To express this as a mixed number, the remainder 8, over the divisor 25, is added to the quotient:
[tex]\[ 66 + \frac{8}{25} \][/tex]
This means the quotient of 1658 divided by 25 is [tex]\( 66 \frac{8}{25} \)[/tex]. Thus, the correct answer is [tex]\( 66 \frac{8}{25} \)[/tex].
1. Set up the division: We want to divide 1658 by 25. Set this up as a long division problem.
2. Divide 25 into 165: First, we look at the first three digits of 1658, which are 165. Determine how many times 25 goes into 165.
- 25 multiplied by 6 equals 150.
- 25 multiplied by 7 equals 175, which is too large.
So, 25 goes into 165 six times. Write 6 above the 165.
3. Multiply and subtract: Multiply 6 by 25 to get 150. Subtract 150 from 165 to get a remainder of 15.
4. Bring down the next digit: Bring down the next digit, 8, to make 158.
5. Divide 25 into 158: Now, determine how many times 25 can go into 158.
- 25 multiplied by 6 equals 150.
So, 25 goes into 158 six times. Write 6 above the 8 you just brought down.
6. Multiply and subtract: Multiply 6 by 25 to get 150. Subtract 150 from 158 to get a remainder of 8.
The quotient is 66 with a remainder of 8. To express this as a mixed number, the remainder 8, over the divisor 25, is added to the quotient:
[tex]\[ 66 + \frac{8}{25} \][/tex]
This means the quotient of 1658 divided by 25 is [tex]\( 66 \frac{8}{25} \)[/tex]. Thus, the correct answer is [tex]\( 66 \frac{8}{25} \)[/tex].
