I use Oxy-Clean to clean lust about everything in the Brewery and Winery. To clean a carboy I normally put a scoop of Oxy Clean in it and fill it pretty well full. I normally let it set overnight if it is really cruddy with a krausen ring. It will be crystal clean the next day but I still take the carboy brush to it and then drain it and then rinse it. I then sanitize with either a solution of Na-Meta or K-Meta for wine or use Star San for beer.
With the Sulfite's I just put a gallon or so in the bottom of the carboy, cap it and swish it all around and invert the carboy a few times to coat the entire surface. I then let it sit for a bit to let the fumes rise. The fumes are effective sanitizers. I drain right before I am ready to rack wine into it and never rinse. As Wade says, that will introduce bacteria back into the vessel.