A remainder of consecutive numbers

123456789=(1234567)x(100)+89 so the remainder when 123456789 divided by 1234567 is 89

1234567 times 100 gives you 123456700 which is 89 less than 123456789.

since $123456789=100(1234567)+ 89$ and 89 is not divisible by 1234567. Hence, its remainder is 89~

I just wrote down the last 2 numbers (8 and 9)...

123456789/1234567 = 100.00007209005263 therefore, the remainder is 1234567 times 0.00007209005263 wich is 89

The solution is scratch 1234567 of both number so the remainder is only 89

$\frac{123456789}{1234567}$ = 1 r 89