10. (3 points) The sum of two numbers $A$ and $B$ is 1812, and the quotient of the larger number divided by the smaller number is 7 with a remainder of 4. Then, the difference between the larger and smaller numbers is
【Solution】Solution: According to the problem, using the sum-multiple formula, we get:
The smaller number is: $(1812-4) \div(7+1)=226$;
The larger number is: $226 \times 7+4=1586$;
The difference between the larger and smaller numbers is: $1586-226=1360$.
Answer: The difference between the larger and smaller numbers is 1360.
Therefore, the answer is: 1360.