3021 ÷ 8 = 377 R5
Alright, let's work through the division of 3021 by 8 step by step.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 2:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 24 from 30 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 8

Step 3:
8 goes into 62 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 37
Subtract 56 from 62 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 4:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 377
Subtract 56 from 61 to get 5.

The final result is 377 with a remainder of 5.