when you break off a piece, place it in dirt, maybe 2 inches. water, they will multiply fast. Just keep putting them in dirt. good luck, it works. :)
My husband took a leaf that broke and put it in the sandy soil and it grew roots. Also, He gently pulls apart the babies from the parent plant and repots them in sandy soil. They like heat and soil that drains well. We have too many. They are really easy to replant and grow.
Aloe plants are fairly easy to start if you have a well drained soil (we added sand to ours). My husband put a broken leaf in damp soil and it even sprouted roots. He takes the plants out of the planter and separates the "babies" from the adult plant. Then he sets the baby in a new pot by itself as deep as it was in the first pot. Water, and set in the warm sun, and they grow! They are low maintenance and multiply easily!