First of all, this is about the basics of this game.
http://forums.eune.leagueoflegends.com/board/showthread.php?t=723240
Now.... Draven is a bit special, considering all his damage comes from being able to juggle and maintain axes, so I need to give you some tips to his mechanics.
There are a couple of ways to keep the axes spinning.
1 Hit something
2 Catch an axe
3 Click Q
Every time you do either of those things, you have 6 sec before it will expire.
You only need to have 1 spinning axe in the air when last hitting, so you might as well have 2 axes spinning, it will make no difference except when trading blows.
ALWAYS use your spinning axes if possible, this means you need to click the S-key to prevent you from attacking while you pick up the axe, and then go back to attacking once you catch it.
With a bit of training you can start the attack animation as you're picking up the axe, I recommend training at the red/blue when helping your jungler.
This is what my item page looked like in S3 for Draven, although it requires some updates the general outline is still there.
http://postimg.org/image/95m1zx6sh/
Now I found this on youtube which is a Draven guide where he explains pretty well about Draven's mechanics, although he does make a couple of minor oversights.
https://www.youtube.com/watch?v=5jSmzUF6ONU
So I bid you
Welcome to the League of Draven