8877 ÷ 9 = 986 R3
No problem, we've got 8877 and 9 for the division.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 8 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 9

Step 2:
9 goes into 88 9 times with a remainder of 7.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 88 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 9

Step 3:
9 goes into 77 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 98
Subtract 72 from 77 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 9

Step 4:
9 goes into 57 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 986
Subtract 54 from 57 to get 3.

The final result is 986 with a remainder of 3.