College

Divide [tex]\frac{62}{6}[/tex].

Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.

A. 62 is exactly divisible by 6. The quotient is [tex]\square[/tex].

B. 62 is not exactly divisible by 6. The quotient is 10 with a remainder of 2.

C. The quotient is not defined.

Answer :

To divide 62 by 6, let's go through the process step-by-step:

1. Divide: Start by dividing the whole number 62 by 6. Think about how many times 6 can fit into 62 without exceeding it. Since 6 times 10 equals 60, and 6 times 11 equals 66, which is too much, we know 6 fits into 62 ten times (because 6 x 10 = 60).

2. Multiply and Subtract: After determining that 6 goes into 62 a total of 10 times, multiply 10 by 6, which gives you 60. Subtract 60 from 62, which leaves you with 2.

3. Remainder: The number 2 is what remains after subtracting, so it is the remainder in this division.

Now, let's choose the option that matches our findings:

- Choice A states that 62 is exactly divisible by 6, which isn't true because there is a remainder.
- Choice B states that 62 is not exactly divisible by 6, with a quotient of 10 and a remainder of 3. However, the remainder here should be 2.
- Choice C doesn't apply because division is defined here.

Therefore, the correct division gives a quotient of 10 and a remainder of 2, but it seems there might be a mistake in the listing, as none of the choices exactly matches the correct remainder, which should in fact be 2. If this were multiple choice, it would be a trick question, but recognize that with your understanding, the quotient is 10 with a remainder of 2.