33222 ÷ 5 = 6644 R2
Alright, let's work through the division of 33222 by 5 step by step.

Step 1:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 5

Step 2:
5 goes into 33 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 30 from 33 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 5

Step 3:
5 goes into 32 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 30 from 32 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 5

Step 4:
5 goes into 22 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 664
Subtract 20 from 22 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 5

Step 5:
5 goes into 22 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 6644
Subtract 20 from 22 to get 2.

The final result is 6644 with a remainder of 2.