9535 ÷ 9 = 1059 R4
Let's divide 9535 by 9.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 9

Step 2:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 9

Step 3:
9 goes into 53 5 times with a remainder of 8.
Write down 5 as next digit of of the result. 
Result so far: 105
Subtract 45 from 53 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 4:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 1059
Subtract 81 from 85 to get 4.

The final result is 1059 with a remainder of 4.