9116 ÷ 8 = 1139 R4
No problem, we've got 9116 and 8 for the division.

Step 1:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 9 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 8

Step 2:
8 goes into 11 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 8 from 11 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 3:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 113
Subtract 24 from 31 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 8

Step 4:
8 goes into 76 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 1139
Subtract 72 from 76 to get 4.

The final result is 1139 with a remainder of 4.