Generally, a 502 error is not something you can fix. It means that one or more of the servers that fulfill your request for a web page aren't sending back what's expected. (It's quite typical for a web site to grab data from other places to render the page you are looking at. The main text usually comes from the site you are looking at, but a lot of the times, the pictures, video, comments section, etc., might be hosted on another machine altogether. The ads placed on web pages typically come from outside servers.)
If this is the only web site on which you are getting a 502 error, it probably is the site. However, I was able to go to http://www.quotev.com/
(using FIrefox 19.0.2 and Chrome Version 25.0.1364.172 m) with no issues, which makes me wonder. If you are getting the error when visiting a lot of sites, it's probably time to do some more digging on your end. Have you tried power cycling the router that serves the Internet at your place? It's possible that the site has moved to a new server and the router has some of the old web site IPs in it's routing table. That is, it might not be your laptop, but in the router or further upstream toward the web site.