How do you deal with toxic players? Rant ahead

My last couple of matches have been huge downers, all because of toxic players, on my team or the other. My last match, however, was the worst by far. Our jungler, a Nautilus, was the definition of a snotty 13 year old during champ select. While in the match itself though, he intentionally DC'd because our Caitlyn had accidentally taken his Gromp, only to come back mid game and do nothing but feed. I could have brushed it off if my top lane opponent, an Irelia, wasn't such a smug jerk throughout the match, rubbing in every death our team had as if she earned them. But the worst part of it all was that she knew she couldn't beat me in an even fight, every quarrel between the two of us ended with her running away with only a sliver of health left, but she had the kills, while I had the deaths, how was I to prove the fact?

Safe to say, it frustrated me to no end when the surrender vote exploded our Nexus, only to be met with the phrase "GG" from the enemy team. I wish I could say that it was, but is was far from it, as have almost all my matches recently, I don't know, the report button just feels so powerless, I always have the feeling that they never get their comeuppance for what they do or how they act.

Anyway, how do you all deal with rotten players like them? Do you ignore? Do you report?