11361 ÷ 9 = 1262 R3
No problem, we've got 11361 and 9 for the division.

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 (3) of the dividend behind the 2 and repeat the process: 23 / 9

Step 3:
9 goes into 23 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 18 from 23 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: 126
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: 1262
Subtract 18 from 21 to get 3.

The final result is 1262 with a remainder of 3.