4467 ÷ 8 = 558 R3
Alright, let's work through the division of 4467 by 8 step by step.

Step 1:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 8

Step 2:
8 goes into 44 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 44 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 8

Step 3:
8 goes into 46 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 55
Subtract 40 from 46 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 8

Step 4:
8 goes into 67 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 558
Subtract 64 from 67 to get 3.

The final result is 558 with a remainder of 3.