38688 ÷ 3 = 12896 R0
Alright, let's work through the division of 38688 by 3 step by step.

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

Step 2:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 6 from 8 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Step 3:
3 goes into 26 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 128
Subtract 24 from 26 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Step 4:
3 goes into 28 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 1289
Subtract 27 from 28 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Step 5:
3 goes into 18 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 12896
Subtract 18 from 18 to get 0.

The final result is 12896 with a remainder of 0.