High School

Divide:

\[
\begin{array}{c}
\phantom{0} \square \\
\hline
6\! \mid \! \phantom{0} 62 \\
\end{array}
\]

Find the quotient and remainder when 62 is divided by 6.

Answer :

To solve the division problem "10 divided by 62," let's break it down into simpler steps:

1. Perform the Division: We want to find how many times 62 can fit into 10. In this case, 62 is larger than 10, so it cannot fit even once. Therefore, the whole number part of the division, called the quotient, is 0.

2. Calculate the Remainder: After knowing that the quotient is 0, we can determine the remainder. Since 62 cannot be subtracted from 10 (it's already too big), the remainder is simply the original number, which is 10.

3. Understand the Division Result: When we divide a smaller number by a larger number, we get a result less than 1. So, if you were to express 10 divided by 62 in decimal form, it is approximately 0.1613 (rounded to four decimal places).

In summary:
- Quotient: 0 (62 doesn't fit into 10 even once)
- Remainder: 10
- Decimal Result: Approximately 0.1613

This is how the problem would be visually represented in long division, and these results explain the division completely.