8. (5 points) The sum of two numbers is 363. When the larger number is divided by the smaller number, the quotient is 16 with a remainder of 6. The larger of the two numbers is $\qquad$.


【Analysis】According to the division of the larger number by the smaller number, the quotient is 16 and the remainder is 6, so the larger number minus 6 is 16 times the smaller number. Therefore, 363 minus 6 is (16+1) times the smaller number. Thus, according to the meaning of division, the smaller number can be found, and then the larger number can be further determined.

【Solution】Solution: $(363-6) \div(16+1)$
$$
\begin{array}{l}
=357 \div 17 \\
=21
\end{array}
$$
$$
363-21=342
$$

Answer: The larger of the two numbers is 342.
Therefore, the answer is: 342.