93624 = 90000 + 3000 + 600 + 20 + 4
We know that 1000 is divisible by 8.
Here, 90000 and 3000 are multiples of 1000, they are certainly divisible by 8.
So, it is enough to test the divisibility of the last three digits of the number.
Is 624 divisible by 8? Yes.
Hence, the given number 93624 is also divisible by 8.