8093 ÷ 3 = 2697 R2
Alright, let's work through the division of 8093 by 3 step by step.

Step 1:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 8 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 2:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 26
Subtract 18 from 20 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Step 3:
3 goes into 29 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 269
Subtract 27 from 29 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 4:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 2697
Subtract 21 from 23 to get 2.

The final result is 2697 with a remainder of 2.