9091 ÷ 3 = 3030 R1
Alright, let's work through the division of 9091 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 (0) of the dividend behind the 0 and repeat the process: 0 / 3

Step 2:
3 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 30
Subtract 0 from 0 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 3

Step 3:
3 goes into 9 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 303
Subtract 9 from 9 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Step 4:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 3030
Subtract 0 from 1 to get 1.

The final result is 3030 with a remainder of 1.