Question

Question was provided via image upload.

Explanation:

Step1: Divide the tens place

We divide 9 (in the tens place of 93.6) by 6. 6 goes into 9 once, so we write 1 above the tens place. Then we multiply 1 by 6 to get 6, and subtract that from 9. So, \(9 - 6 = 3\).

Step2: Bring down the next digit

We bring down the 3 (from the ones place) to make 33. Now we divide 33 by 6. 6 goes into 33 five times (since \(6\times5 = 30\)). We write 5 above the ones place. Then we multiply 5 by 6 to get 30, and subtract that from 33. So, \(33 - 30 = 3\).

Step3: Bring down the decimal and the next digit

We bring down the 6 (after the decimal) to make 3.6. Now we divide 3.6 by 6. 6 goes into 3.6 exactly 0.6 times? Wait, no, 6 times 0.6 is 3.6, but in long division, we can think of it as 36 tenths divided by 6. 6 goes into 36 six times. So we write 6 above the tenths place. Then we multiply 6 by 6 to get 36, and subtract that from 36. So, \(36 - 36 = 0\).

Putting it all together, the quotient is 15.6.

Answer:

\(93.6\div6 = \boxed{15.6}\)