2687 ÷ 6 = 447 R5
Alright, let's work through the division of 2687 by 6 step by step.

Step 1:
6 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 (6) of the dividend behind the 2 and repeat the process: 26 / 6

Step 2:
6 goes into 26 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 24 from 26 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Step 3:
6 goes into 28 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 24 from 28 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Step 4:
6 goes into 47 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 447
Subtract 42 from 47 to get 5.

The final result is 447 with a remainder of 5.