1686 ÷ 6 = 281 R0
Alright, let's work through the division of 1686 by 6 step by step.

Step 1:
6 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 / 6

Step 2:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 12 from 16 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 6

Step 3:
6 goes into 48 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 48 from 48 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 6

Step 4:
6 goes into 6 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 281
Subtract 6 from 6 to get 0.

The final result is 281 with a remainder of 0.