33984 ÷ 5 = 6796 R4
Alright, let's work through the division of 33984 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 (9) of the dividend behind the 3 and repeat the process: 39 / 5

Step 3:
5 goes into 39 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 67
Subtract 35 from 39 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 5

Step 4:
5 goes into 48 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 679
Subtract 45 from 48 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 5

Step 5:
5 goes into 34 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 6796
Subtract 30 from 34 to get 4.

The final result is 6796 with a remainder of 4.