40687 ÷ 6 = 6781 R1
Let's divide 40687 by 6.

Step 1:
6 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 2:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 36 from 40 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 3:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 67
Subtract 42 from 46 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 6

Step 4:
6 goes into 48 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 678
Subtract 48 from 48 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Step 5:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 6781
Subtract 6 from 7 to get 1.

The final result is 6781 with a remainder of 1.