This isn't democracy.
"It's called Democracy*. Sometimes you get your choice because the majority agree with you, sometimes you don't because the majority don't."
The majority didn't vote to leave, it was 17m people, in a country with over three times that number.
Taxpaying permanent residents in the UK weren't allowed to vote, UK citizens permanently resident in the EU weren't allowed to vote, under 18s weren't allowed to vote. The game was rigged for Leave, amazingly by someone campaigning to stay (Cameron)
This wasn't a majority decision, as others have pointed out, to make such a massive jump into the dark with such a tiny percentage lead is nothing less than reckless. I hope the next few years of complete uncertainty is worth it.