If the snake skin doesn't come off in one piece, it probably has a problem shedding it's skin and it's a trip to the Vet. Of course there could be other reason's too. There is also something to help it with but not handling it.
"Take care of your pet snake. Once you have recognized the shedding
signs, it’s time to look at caring for your pet. Due to the snake will
be more defensive, it might be wise to avoid handling it until the
shedding process is complete. To hurry the process along, providing
the snake with rough surfaces can help such as rocks and driftwood
which should, of course, be cleaned. Your snake will also need
humidity so make sure that the snake has a shallow dish of water in
order to soak itself and the skin, allowing it to come off easily."
Shedding Problems: If your snake does not completely shed its skin (an incomplete shed, also called dysecdysis ), it can signal health problems or problems with husbandry (e.g. humidity levels). Retained eye caps (where the eye caps are not shed along with the skin) may occur with an incomplete shed, but may also occur even if the rest of the skin was shed intact. For help with either of these problems, see the following links:
Shedding Problems in Reptiles: http://exoticpets.about.com/od/reptilehealth/qt/sheddingproblem.htm
Retained Eye Caps in Snakes: http://exoticpets.about.com/od/snakes/qt/snakessheyecaps.htm