6876 ÷ 9 = 764 R0
We're going to perform division on 6876 with 9 as the divisor.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 9

Step 2:
9 goes into 68 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 68 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 9

Step 3:
9 goes into 57 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 76
Subtract 54 from 57 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 9

Step 4:
9 goes into 36 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 764
Subtract 36 from 36 to get 0.

The final result is 764 with a remainder of 0.