8533 ÷ 3 = 2844 R1
Alright, let's work through the division of 8533 by 3 step by step.

Step 1:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 8 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Step 2:
3 goes into 25 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 24 from 25 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Step 3:
3 goes into 13 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 284
Subtract 12 from 13 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Step 4:
3 goes into 13 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 2844
Subtract 12 from 13 to get 1.

The final result is 2844 with a remainder of 1.