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Answer :
To find the quotient of the division problem [tex]\( 16 \)[/tex] divided into [tex]\( 1518 \)[/tex], follow these steps:
1. Set up the division: We're dividing 1518 by 16.
2. Estimate how many times 16 fits into the first part of the dividend:
- Look at the first two digits of the dividend: 15. Since 16 is larger than 15, consider the first three digits, which are 151.
- Determine how many times 16 can go into 151. By estimating or calculating, 16 goes into 151 nine times because [tex]\(16 \times 9 = 144\)[/tex], and [tex]\(16 \times 10 = 160\)[/tex] is too large.
3. Subtract to find the remainder of this step:
- Subtract 144 from 151 to get a remainder of 7.
4. Bring down the next digit from the dividend:
- Bring down the 8 from 1518, creating a new number: 78.
5. Determine how many times 16 fits into 78:
- 16 goes into 78 four times because [tex]\(16 \times 4 = 64\)[/tex], and [tex]\(16 \times 5 = 80\)[/tex] exceeds 78.
6. Subtract to find the remainder of this step:
- Subtract 64 from 78 to get a remainder of 14.
So, putting it all together, 16 fits into 1518 a total of 94 times, with a remainder of 14.
Therefore, the quotient is 94 with a remainder of 14, which matches option B: 94 r 14.
1. Set up the division: We're dividing 1518 by 16.
2. Estimate how many times 16 fits into the first part of the dividend:
- Look at the first two digits of the dividend: 15. Since 16 is larger than 15, consider the first three digits, which are 151.
- Determine how many times 16 can go into 151. By estimating or calculating, 16 goes into 151 nine times because [tex]\(16 \times 9 = 144\)[/tex], and [tex]\(16 \times 10 = 160\)[/tex] is too large.
3. Subtract to find the remainder of this step:
- Subtract 144 from 151 to get a remainder of 7.
4. Bring down the next digit from the dividend:
- Bring down the 8 from 1518, creating a new number: 78.
5. Determine how many times 16 fits into 78:
- 16 goes into 78 four times because [tex]\(16 \times 4 = 64\)[/tex], and [tex]\(16 \times 5 = 80\)[/tex] exceeds 78.
6. Subtract to find the remainder of this step:
- Subtract 64 from 78 to get a remainder of 14.
So, putting it all together, 16 fits into 1518 a total of 94 times, with a remainder of 14.
Therefore, the quotient is 94 with a remainder of 14, which matches option B: 94 r 14.
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