9611 ÷ 9 = 1067 R8
No problem, we've got 9611 and 9 for the division.

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

Step 2:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 9

Step 3:
9 goes into 61 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 106
Subtract 54 from 61 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 9

Step 4:
9 goes into 71 7 times with a remainder of 8.
Write down 7 as next digit of of the result. 
Result so far: 1067
Subtract 63 from 71 to get 8.

The final result is 1067 with a remainder of 8.