74421 ÷ 8 = 9302 R5
Alright, let's work through the division of 74421 by 8 step by step.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 8

Step 2:
8 goes into 74 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 74 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 8

Step 3:
8 goes into 24 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 93
Subtract 24 from 24 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 8

Step 4:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 930
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 8

Step 5:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 9302
Subtract 16 from 21 to get 5.

The final result is 9302 with a remainder of 5.