10166 ÷ 9 = 1129 R5
We're going to perform division on 10166 with 9 as the divisor.

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

Step 2:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 10 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 9

Step 3:
9 goes into 11 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 9 from 11 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 9

Step 4:
9 goes into 26 2 times with a remainder of 8.
Write down 2 as next digit of of the result. 
Result so far: 112
Subtract 18 from 26 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 5:
9 goes into 86 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 1129
Subtract 81 from 86 to get 5.

The final result is 1129 with a remainder of 5.