10453 ÷ 9 = 1161 R4
Alright, let's work through the division of 10453 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 (0) of the dividend behind the 1 and repeat the process: 10 / 9

Step 2:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 10 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 3:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 9 from 14 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 9

Step 4:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 116
Subtract 54 from 55 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 9

Step 5:
9 goes into 13 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1161
Subtract 9 from 13 to get 4.

The final result is 1161 with a remainder of 4.