4165 ÷ 9 = 462 R7
Let's divide 4165 by 9.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 9

Step 2:
9 goes into 41 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 41 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

Step 3:
9 goes into 56 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 46
Subtract 54 from 56 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 9

Step 4:
9 goes into 25 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 462
Subtract 18 from 25 to get 7.

The final result is 462 with a remainder of 7.