To find the largest 5-digit number that is exactly divisible by 113, follow these steps:
1. Identify the largest 5-digit number, which is 99,999.
2. Determine the remainder when 99,999 is divided by 113.
3. Subtract this remainder from 99,999 to get the largest number that is divisible by 113.
Performing these steps, we get:
1. The largest 5-digit number is 99,999.
2. When 99,999 is divided by 113, the remainder is 107.
3. Subtract the remainder from 99,999:
[tex]\[ 99,999 - 107 = 99,892 \][/tex]
Thus, the largest 5-digit number exactly divisible by 113 is 99,892. The correct option is 99,892.
