3678 ÷ 6 = 613 R0
We're going to perform division on 3678 with 6 as the divisor.

Step 1:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Step 2:
6 goes into 36 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 36 from 36 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Step 3:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 61
Subtract 6 from 7 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 6

Step 4:
6 goes into 18 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 613
Subtract 18 from 18 to get 0.

The final result is 613 with a remainder of 0.