Winnie has a total of $17+33+65+83=198$ balloons.
She wants to divide them equally among her 8 friends, so each friend would ideally get $\frac{198}{8}=24.75$ balloons.
Since Winnie can only give out whole balloons, each friend would actually get 24 balloons.
Therefore, Winnie gives away a total of $8\times24=192$ balloons.
To find out how many balloons Winnie keeps for herself, we subtract the balloons she gave away from the total number of balloons she had: $198-192=\boxed{6}$.
The answer is: 6
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Winnie has 17 red balloons, 33 white balloons, 65 green balloons, and 83 chartreuse balloons.  With no regard to color, Winnie gives each of her 8 nearest and dearest friends some balloons.  Each friend gets the same number of balloons and she hands out as many balloons as possible.  How many balloons does Winnie end up keeping for herself?

### Answer:
