Question

divide the following by using short division. use multiplication to check the answer.
\\(5\enclose{longdiv}{60}\\)
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 60 by 5. In short division, we look at how many times 5 goes into 6 (the first digit of 60). 5 goes into 6 once with a remainder of 1. Then we bring down the 0 to make 10. 5 goes into 10 exactly 2 times. So putting it together, 5 goes into 60 12 times.
$$60\div5 = 12$$

Step2: Check with Multiplication

To check, we multiply the quotient (12) by the divisor (5).
$$12\times5 = 60$$
Which matches the dividend, so there is no remainder.

Answer:

A. The quotient is $\boldsymbol{12}$ with no remainder.