Place a layer of newspapers on the work surface. Transplanting is a messy job and this makes cleanup easier.
Fill the new planting pot halfway with well-drained soil. A commercial mix labeled as cactus mix is ideal. You can also make your own mix using equal parts of peat moss and perlite. Add superphosphate at half the label-recommended rate.
Slide the kalanchoe from the pot. The plant's roots are sensitive to disturbance so handle them gently.
Place the kalanchoe's roots into the new pot and check to ensure that it sits at the same depth as it did in the old pot. Add or remove some of the planting medium to get it to the appropriate depth.
Fill the pot with the planting medium, carefully packing it around the kalanchoe's roots to remove air that may be trapped there.
Water the plant slowly until water drains from the bottom. Allow it to drain for 15 minutes and then water it again. Remove standing water from the tray beneath the pot.