Question

divide the following by using short division. use multiplication to check the answer.
\\(\

$$\begin{array}{r}7enclose{longdiv}{119}\\\\ \\end{array}$$

\\)

select the correct choice below and fill in the answer box(es) to complete your choice.
\\(\bigcirc\\) a. the quotient is \\(\square\\) with no remainder.
\\(\bigcirc\\) b. the quotient is \\(\square\\) r \\(\square\\).

Explanation:

Step1: Perform Short Division

We divide 119 by 7. First, look at the first digit of 119, which is 1. 7 doesn't go into 1, so we look at the first two digits, 11. 7 goes into 11 once (since \( 7\times1 = 7 \)) with a remainder of \( 11 - 7 = 4 \). Then we bring down the 9 to make 49. 7 goes into 49 exactly 7 times (since \( 7\times7 = 49 \)). So putting it together, \( 119\div7 = 17 \).

Step2: Check with Multiplication

To check, we multiply the quotient (17) by the divisor (7). \( 17\times7 = 119 \), which is the dividend, so there is no remainder.

Answer:

A. The quotient is \(\boldsymbol{17}\) with no remainder.