13136 ÷ 9 = 1459 R5
Alright, let's work through the division of 13136 by 9 step by step.

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 (3) of the dividend behind the 5 and repeat the process: 53 / 9

Step 4:
9 goes into 53 5 times with a remainder of 8.
Write down 5 as next digit of of the result. 
Result so far: 145
Subtract 45 from 53 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: 1459
Subtract 81 from 86 to get 5.

The final result is 1459 with a remainder of 5.