Answer :
To find the quotient and remainder of the division [tex]\(1517 \div 16\)[/tex], follow these steps:
1. Divide the first part of the dividend:
- Start with the first two digits of the dividend, which is 15.
- Since 15 is less than 16, the quotient for this part is 0. We move to the next step without adding anything to the quotient.
2. Extend to the next digit:
- Combine the next digit with 15, giving us 151.
3. Divide 151 by 16:
- Estimate how many times 16 goes into 151.
- 16 times 9 is 144, which is the largest product of 16 that is less than or equal to 151.
- So, the quotient is 9 for this section, and we subtract 144 from 151 to get a remainder of 7.
4. Bring down the next digit:
- Next, bring down the last digit of the dividend, which is 7, to combine with 7, giving us 77.
5. Divide 77 by 16:
- Estimate how many times 16 fits into 77.
- 16 times 4 is 64, which is the largest product that is less than or equal to 77.
- So, the quotient for this section is 4, leaving us with a remainder of 77 - 64 = 13.
6. Combine the results:
- The overall quotient from the division is 94, and the remainder is 13.
Therefore, the answer to the division problem is 94 R 13, which corresponds to option B.
1. Divide the first part of the dividend:
- Start with the first two digits of the dividend, which is 15.
- Since 15 is less than 16, the quotient for this part is 0. We move to the next step without adding anything to the quotient.
2. Extend to the next digit:
- Combine the next digit with 15, giving us 151.
3. Divide 151 by 16:
- Estimate how many times 16 goes into 151.
- 16 times 9 is 144, which is the largest product of 16 that is less than or equal to 151.
- So, the quotient is 9 for this section, and we subtract 144 from 151 to get a remainder of 7.
4. Bring down the next digit:
- Next, bring down the last digit of the dividend, which is 7, to combine with 7, giving us 77.
5. Divide 77 by 16:
- Estimate how many times 16 fits into 77.
- 16 times 4 is 64, which is the largest product that is less than or equal to 77.
- So, the quotient for this section is 4, leaving us with a remainder of 77 - 64 = 13.
6. Combine the results:
- The overall quotient from the division is 94, and the remainder is 13.
Therefore, the answer to the division problem is 94 R 13, which corresponds to option B.
