College

What is the quotient of the following division problem?



\[ 1518 \div 16 \]



A. 93 r 12

B. 94 r 13

C. 94 r 14

D. 96 r 11

Answer :

To solve the division problem

$$16 \div 1518,$$

we follow these steps:

1. We need to determine how many times $16$ can be multiplied so that the product is as close as possible to $1518$ without exceeding it.

2. Testing a nearby multiple, we see that multiplying $16$ by $95$ gives

$$16 \times 95 = 1520,$$

which is a bit too high because $1520 > 1518$.

3. Next, consider $16 \times 94$:

$$16 \times 94 = 1504.$$

This value is less than $1518$, so $94$ is a candidate for the quotient.

4. Now, subtract the product from the dividend to find the remainder:

$$1518 - 1504 = 14.$$

Thus, we can express the division as

$$1518 = 16 \times 94 + 14.$$

This shows that when you divide $1518$ by $16$, the quotient is $94$ and the remainder is $14$.

Therefore, the answer is:

$$\boxed{94 \text{ r } 14}.$$