33397 ÷ 5 = 6679 R2
Alright, let's work through the division of 33397 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 (3) of the dividend behind the 3 and repeat the process: 33 / 5

Step 3:
5 goes into 33 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 30 from 33 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 5

Step 4:
5 goes into 39 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 667
Subtract 35 from 39 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 5

Step 5:
5 goes into 47 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 6679
Subtract 45 from 47 to get 2.

The final result is 6679 with a remainder of 2.