53924 ÷ 8 = 6740 R4
Alright, let's work through the division of 53924 by 8 step by step.

Step 1:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 2:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 48 from 53 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 3:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 67
Subtract 56 from 59 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 8

Step 4:
8 goes into 32 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 674
Subtract 32 from 32 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 8

Step 5:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 6740
Subtract 0 from 4 to get 4.

The final result is 6740 with a remainder of 4.