13161 ÷ 9 = 1462 R3
We're going to perform division on 13161 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 (3) of the dividend behind the 1 and repeat the process: 13 / 9

Step 2:
9 goes into 13 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 13 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 9

Step 3:
9 goes into 41 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 36 from 41 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

Step 4:
9 goes into 56 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 146
Subtract 54 from 56 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 9

Step 5:
9 goes into 21 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 1462
Subtract 18 from 21 to get 3.

The final result is 1462 with a remainder of 3.