Answer :
To solve the problem [tex]\( 32 \longdiv 62537 \)[/tex] and find the quotient and remainder, follow these steps:
1. Set Up the Division: Begin by setting up the long division of 62,537 by 32.
2. Divide: Start with the first digits of the dividend (62537), which is 62:
- 32 goes into 62 one time because 32 x 1 = 32, and 32 x 2 = 64, which is too large.
3. Subtract: Subtract 32 from 62 to get 30.
4. Bring Down the Next Digit: Bring the next digit down from the dividend, which is 5, making it 305.
5. Divide Again: Determine how many times 32 fits into 305:
- 32 x 9 = 288, which is less than 305.
- 32 x 10 = 320, which is too large.
- So, 32 fits in 305 nine times.
6. Subtract Again: Subtract 288 from 305 to get 17.
7. Continue Dividing: Bring down the next digit from the dividend, which is 3, making it 173.
8. Repeat the Process: Determine how many times 32 fits into 173:
- 32 x 5 = 160, which is less than 173.
- 32 x 6 = 192, which is too large.
- So, 32 fits in 173 five times.
9. Subtract Once More: Subtract 160 from 173 to get 13.
10. Bring Down the Last Digit: Bring down the last digit from the dividend, which is 7, making it 137.
11. Final Division: Determine how many times 32 fits into 137:
- 32 x 4 = 128, which is less than 137.
- 32 x 5 = 160, which is too large.
- So, 32 fits in 137 four times.
12. Final Subtraction: Subtract 128 from 137 to get 9.
Now, you've completed the division process, and the results are as follows:
- The quotient is 524.
- The remainder is 49.
Therefore, when dividing 62,537 by 32, the quotient is 524, and the remainder is 49.
1. Set Up the Division: Begin by setting up the long division of 62,537 by 32.
2. Divide: Start with the first digits of the dividend (62537), which is 62:
- 32 goes into 62 one time because 32 x 1 = 32, and 32 x 2 = 64, which is too large.
3. Subtract: Subtract 32 from 62 to get 30.
4. Bring Down the Next Digit: Bring the next digit down from the dividend, which is 5, making it 305.
5. Divide Again: Determine how many times 32 fits into 305:
- 32 x 9 = 288, which is less than 305.
- 32 x 10 = 320, which is too large.
- So, 32 fits in 305 nine times.
6. Subtract Again: Subtract 288 from 305 to get 17.
7. Continue Dividing: Bring down the next digit from the dividend, which is 3, making it 173.
8. Repeat the Process: Determine how many times 32 fits into 173:
- 32 x 5 = 160, which is less than 173.
- 32 x 6 = 192, which is too large.
- So, 32 fits in 173 five times.
9. Subtract Once More: Subtract 160 from 173 to get 13.
10. Bring Down the Last Digit: Bring down the last digit from the dividend, which is 7, making it 137.
11. Final Division: Determine how many times 32 fits into 137:
- 32 x 4 = 128, which is less than 137.
- 32 x 5 = 160, which is too large.
- So, 32 fits in 137 four times.
12. Final Subtraction: Subtract 128 from 137 to get 9.
Now, you've completed the division process, and the results are as follows:
- The quotient is 524.
- The remainder is 49.
Therefore, when dividing 62,537 by 32, the quotient is 524, and the remainder is 49.
