63324 ÷ 8 = 7915 R4
Alright, let's work through the division of 63324 by 8 step by step.

Step 1:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 8

Step 2:
8 goes into 63 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 56 from 63 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 8

Step 3:
8 goes into 73 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 79
Subtract 72 from 73 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 4:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 791
Subtract 8 from 12 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 8

Step 5:
8 goes into 44 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 7915
Subtract 40 from 44 to get 4.

The final result is 7915 with a remainder of 4.