Hi. Typically, if your Echeveria is the typical close-to-the-ground kind, then you'd behead it and let the head root. That way, you retain the compact grounded look Echeverias are known for.

The beheaded stem can then be propagated. Eventually, the nodules where leaves used to be will grow out new plants. That is because those nodules are meristematic.

I dont think these kinds of Echeveria branch out. I could be wrong.

How long since you got it? It looks like Echeveria Perle vonNurnberg or E. gibbiflora metallica that looks very similar.

You could behead it (decapitate)...some recommend to do so every 3-5 yrs or so, as it does grow this long stem. If the leftover stem is healthy and you leave few leaves on it, it may start growing baby plants. I don't know of any way of getting it to branch.

I am not the person to ask, but I am growing one in the same way you are(though not near so tall yet) and hoping it will branch. I wonder if beheading encourages branching from the stem. Thanks for posting this question!

ez