Markov Chain Monte Carlo in plain English

I barely know what a markov chain is (I had a terrible teacher) and I probably have an idea of what a stationary distribution is... but I don't know how a Monte Carlo method works and I don't know how a Markov Chain Monte Carlo algorithm works.

Can someone please explain it to me in plain English and very simple terms?

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Downvoters might also explain here why they think this question is ill-formed. Not writing anything and downvoting is like assuming you didn't understand the question because you know nothing about the subject. –  Paul Aug 21 '13 at 16:01
I did not downvote. But I guess, the question is too broad and can be locked as Not a real question. If I were you, I would do more self study and ask specific question. –  edit Aug 21 '13 at 16:15
Thanks, you're probably right. I can't find proper material unfortunately, this stuff seems quite hard to find as a well-explained thing. –  Paul Aug 21 '13 at 16:18
"I can't find proper material" Seriously? Skimming through one or two wikipedia pages then using the search engine of MSE would already bring you a lot. –  Did Aug 21 '13 at 16:37
If you're able to study on wikipedia go ahead. I can not. –  Paul Aug 21 '13 at 17:36