10435 ÷ 9 = 1159 R4
No problem, we've got 10435 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 (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 (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: 115
Subtract 45 from 53 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 5:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 1159
Subtract 81 from 85 to get 4.

The final result is 1159 with a remainder of 4.