6880 ÷ 9 = 764 R4
Alright, let's work through the division of 6880 by 9 step by step.

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 (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 3:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 76
Subtract 54 from 58 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 9

Step 4:
9 goes into 40 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 764
Subtract 36 from 40 to get 4.

The final result is 764 with a remainder of 4.