22309 ÷ 3 = 7436 R1
Alright, let's work through the division of 22309 by 3 step by step.

Step 1:
3 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 3

Step 2:
3 goes into 22 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 21 from 22 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: 74
Subtract 12 from 13 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Step 4:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 743
Subtract 9 from 10 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Step 5:
3 goes into 19 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 7436
Subtract 18 from 19 to get 1.

The final result is 7436 with a remainder of 1.