Find all natural numbers, when divided by 7, the quotient is the same as the remainder.

#
When dividing a number by 7, there can only be 7 different remainders.

## Solution

The remainder when dividing by 7 cannot exceed 6, so the numbers of interest can be represented as $7a + a = 8a$, where $a = 1, 2, \ldots, 6$. Thus, these numbers are: $8, 16, 24, 32, 40, 48$.

## Answer

$8, 16, 24, 32, 40, 48$.