9530 ÷ 3 = 3176 R2
Alright, let's work through the division of 9530 by 3 step by step.

Step 1:
3 goes into 9 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 9 from 9 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Step 2:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 31
Subtract 3 from 5 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 3:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 317
Subtract 21 from 23 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 4:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 3176
Subtract 18 from 20 to get 2.

The final result is 3176 with a remainder of 2.