2302 ÷ 8 = 287 R6
Alright, let's work through the division of 2302 by 8 step by step.

Step 1:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 8

Step 2:
8 goes into 23 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 23 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 3:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 64 from 70 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 8

Step 4:
8 goes into 62 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 287
Subtract 56 from 62 to get 6.

The final result is 287 with a remainder of 6.