Beal,
They do not separate. It is one whole plant. Best to plant into another pot either the same size or a little larger, if the there was less than, say 1 1/2" on either side of base of plant and inside edges of the pot.
Not sure where you reside to have an idea on weather, temperature, etc.
Pot up using a free draining mix.
I do not want to get into a gritty mix as I use, because some ingredients may not be right on hand.
Use a Cactus mix with 2 Parts Cactus mix to 1 Part Perlite.
Let us know how things go and ask more of everyone if needed.
Rick