Some people take enormous exception to finding bits of cork in their wineglass.
One way to avoid this is to use today’s invention: a vacuum corkscrew.
A rigid cylindrical tube is placed on the neck of a wine bottle. A rubber seal on the flat face of one end of the tube is pressed into contact with the bottleneck (whilst avoiding touching the cork). The tube is then evacuated, using a handpump, which causes the cork to be sucked from the bottle…without generating any fragments.