Any number divided by itself equals 1. Think about it this way; you only have $9.00, so how many times can you spend $9.00? You can only spend it 1 time, before you would have nothing left.
Add the digits of the number. If the sum is 9 or divisible by 9, the number itself is divisible by 9. Ex: 6756 + 7+ 5 = 181 + 8 = 9675 is divisible by 9.