Answer :
To solve the division problem [tex]\(16 \, \big) \ 1517\)[/tex], we need to find both the quotient and the remainder.
1. Set up the division problem: You are dividing 1517 by 16.
2. Estimate how many times 16 fits into the initial digits of 1517:
- Look at the first two digits, which are 15. Since 16 is larger than 15, consider the first three digits, 151.
- 16 goes into 151 approximately 9 times (since [tex]\(16 \times 9 = 144\)[/tex]).
3. Subtract to find the remainder for the step:
- Subtract 144 from 151, which gives us 7.
4. Bring down the next digit: Bring down the next digit from 1517, which is 7, to make 77.
5. Determine how many times 16 fits into 77:
- 16 goes into 77 four times (because [tex]\(16 \times 4 = 64\)[/tex]).
6. Subtract to find the remainder for this step:
- Subtract 64 from 77, which leaves us with 13.
After dividing the entire number, you find that the quotient is 94 and the remainder is 13.
Therefore, the quotient of the division problem is 94 with a remainder of 13, corresponding to option B: 94 r13.
1. Set up the division problem: You are dividing 1517 by 16.
2. Estimate how many times 16 fits into the initial digits of 1517:
- Look at the first two digits, which are 15. Since 16 is larger than 15, consider the first three digits, 151.
- 16 goes into 151 approximately 9 times (since [tex]\(16 \times 9 = 144\)[/tex]).
3. Subtract to find the remainder for the step:
- Subtract 144 from 151, which gives us 7.
4. Bring down the next digit: Bring down the next digit from 1517, which is 7, to make 77.
5. Determine how many times 16 fits into 77:
- 16 goes into 77 four times (because [tex]\(16 \times 4 = 64\)[/tex]).
6. Subtract to find the remainder for this step:
- Subtract 64 from 77, which leaves us with 13.
After dividing the entire number, you find that the quotient is 94 and the remainder is 13.
Therefore, the quotient of the division problem is 94 with a remainder of 13, corresponding to option B: 94 r13.
