3680 ÷ 8 = 460 R0
Alright, let's work through the division of 3680 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 (6) of the dividend behind the 3 and repeat the process: 36 / 8

Step 2:
8 goes into 36 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 36 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 8

Step 3:
8 goes into 48 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 46
Subtract 48 from 48 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 8

Step 4:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 460
Subtract 0 from 0 to get 0.

The final result is 460 with a remainder of 0.