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1.
A combination of the words shit and surfing. Browsing the internet and dropping a load at the same time. (wireless internet recommended)
"After a big meal I like to like to relax and do some shurfing on ebay."
by brian ware September 10, 2007
 
2.
It means doing something disgusting just for the purpose of annoying somebody else.
Stop shurfing be, sicko!
by King Rahahaha Mathers III November 15, 2011