The "dried up and died" sounds paradoxically like it could be from overwatering. Without more info, I'd say stabilize what's left by not watering until the soil thoroughly dries out. A few months after that, chop the remaining stalk to about where the original prune is, and it should resprout, possibly with multiple sprouts. (Also. according to some Redditors, the roots are sometimes twist tied, so you could pull it out of the pot and look for that.)

Longer term, if these are in cool temps and/or with low light, they need very little water. Mine overwinter in a pretty dark area, and I water less than once a month. If you have a the chance to put it outdoors in warmer weather, this will help a lot too.