I also have Kalanchoe sexangularis or petitiana, not totally sure yet as it is still to bloom - hopefully this winter or next spring.
Going back to Kalanchoe x houghtonii. After flowering it will divide at the flowering point and start to grow three or more strong shoots. Cut these off, dry for a couple of days and pot up for a head start on new plants. Cut off what is left of the old stem just above the second leaf node and strong new stems will start there as well...................
If you're being greedy cut the old main stem into two leaf chunks, remove the leaves down one side, dry for a couple of days and then press them down into some compost - even more new fast growing plants!