Not sure if number theory or computer science.

1.) How many integer/s between 1,234 and 12,345 that when that integer is divided by .123456, it will result to an integer?

2.) How many integer/s between 99 and 99,999 that when that integer is divided by .12345, it will result to an integer?

What is the difference of the answer obtained in #1 and the answer obtained in #2?


The answer is 34.

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