11436 ÷ 9 = 1270 R6
Alright, let's work through the division of 11436 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 (1) of the dividend behind the 1 and repeat the process: 11 / 9

Step 2:
9 goes into 11 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 11 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 9

Step 3:
9 goes into 24 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 18 from 24 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 9

Step 4:
9 goes into 63 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 127
Subtract 63 from 63 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 5:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 1270
Subtract 0 from 6 to get 6.

The final result is 1270 with a remainder of 6.