11237 ÷ 9 = 1248 R5
Alright, let's work through the division of 11237 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 (2) of the dividend behind the 2 and repeat the process: 22 / 9

Step 3:
9 goes into 22 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 18 from 22 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Step 4:
9 goes into 43 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 124
Subtract 36 from 43 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 9

Step 5:
9 goes into 77 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 1248
Subtract 72 from 77 to get 5.

The final result is 1248 with a remainder of 5.