Fill a small pot to the brim with specialty cactus soil with extra grit added, or mix your own from scratch plant the callused stem cutting in the prepared potting mix and top dress to prevent soil loss. Water succulents immediately Place the potted cutting in a warm, bright, airy, location and keep moderately moist. you should consider using distilled water to water your young cuttings After several weeks, the cutting should have established a good root system - good luck

It sounds like you've got a Sempervivum. You can leave the 'babies' alone and they will form a nice potfull for you. They look nicer like that, than if you separate them.
In time they will form roots of their own, so you could cut them off then, if you must ... but I leave mine alone, and they fill the pot :o) They won't choke each other. It's their natural growth habit.

Definitely sounds like Sempervivum arachnoideum, the Cobweb Sempervivum.

Agree with Owdboggy Sempervivum arachnoideum. Like Hywel I would leave most of attached to the mother plant to form a good potful but if you want to grow some on as separate plants to give to friends or family follow Ken's advice.

Thanks for giving me the name of the plant. The problem I see is that there is a dangling strand from the mother plant that is growing on the side of the pot with the babies and no roots so I did not know if I should cut the strand, which is turning brown, and almost dying. Do I then just push the round babie in the dirt. Thanks again. Judy

No the baby Sempervivum sits on the top of the soil. Make a small hole with a toothpick or similar and put the 'thread' as you are calling it, actually a stem, into the soil. The new baby will root itself, I'd put several in a pot so it bulked up sooner.

Several "babies" to a strand is unusual but not unheard of. I would wrap the strand around the mother plant, about an inch away, and pin it down with partially straightened paperclips so that the bases of the babies are in firm contact with the potting mix. They will quickly root, and form a fuller clump.