in champ select, you ban him.
then you don't have to deal with him.
jokes aside, like any other kiteable champ, you have to bait out his abilities and respect his zone of control. if he misses Q or apprehend that is an opportunity to go in on him. if he uses Q to push a wave, an opportunity, etc. granted, Q has a short cooldown so its not a big opportunity.
I've found that the only way to beat a darius is to do quick short trades with him. because if you try to go all in you HAVE to kill him. if you don't, he gets the 5 stacks, goes into noxian might and you are pretty much dead. its all about wittling him down and denying the Q heal. if you can't do that you can't beat him.
that said as well, not many champs can truly 1 v 1 him once he gets items against you anyway. even in LCS, marin still got solo'd by a darius twice even though he was well ahead in the match up. Darius passive is quite strong and honestly broken right now. it is truly better to ban him and wait for nerfs imo.