16688 ÷ 3 = 5562 R2
Alright, let's work through the division of 16688 by 3 step by step.

Step 1:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Step 2:
3 goes into 16 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 15 from 16 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Step 3:
3 goes into 16 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 55
Subtract 15 from 16 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Step 4:
3 goes into 18 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 556
Subtract 18 from 18 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 3

Step 5:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 5562
Subtract 6 from 8 to get 2.

The final result is 5562 with a remainder of 2.