Question

divide the following by using short division. use multiplication to check the answer.
\\(6\enclose{longdiv}{72}\\)
select the correct choice below and fill in the answer box(es) to complete your choice.
\\(\bigcirc\\) a. the quotient is \\(\square\\) r \\(\square\\).
\\(\bigcirc\\) b. the quotient is \\(\square\\) with no remainder.

Explanation:

Step1: Perform short division

We divide 72 by 6. Using short division, we see how many times 6 goes into 7 (the tens place of 72), which is 1 time with a remainder of 1. Then we bring down the 2 to make 12. Now we divide 12 by 6, which is 2 times. So combining these, we get 12.

Step2: Check with multiplication

To check, we multiply the quotient (12) by the divisor (6). So \(12\times6 = 72\), which matches the dividend. Since there is no remainder left after division, we use option B.

Answer:

B. The quotient is \(\boldsymbol{12}\) with no remainder.