9. (10 points) It is known that the dividend is 78 more than the divisor, and the quotient is 6, with a remainder of 3. Find the product of the dividend and the divisor.


【Analysis】Dividend $=$ Divisor $\times$ Quotient + Remainder, so the dividend is 3 more than 6 times the divisor, and 78 is 3 more than 5 times the divisor.

【Solution】Solution: Divisor $=(78-3) \div(6-1)=25$,
Dividend $=$ Divisor $\times$ Quotient + Remainder $=6 \times 25+3=153$,
Thus, the product of the dividend and the divisor is $153 \times 25=3825$.
Therefore, the answer is: 3825.