I have created a little area on my patio that I call my propagation station. I like to use saucers that normally sit under a pot. I fill them with soil and I put leaves all over them. Then I sit them on a table and leave them alone. Every now and then I will squirt them with a squirt bottle. But you do not really have to do that. The leaf will provide water to the pup until it shrivels up and dies. Once the pups begin to grow bigger I put them into a tiny pot. Then I place them into a tiny green house. Once they establish themselves with a nice little root ball I move them into a bigger pot with other little succulents. When I create my succulent arrangements I use the little succulents from the pot of many.
I just love to propagate succulents. I think its really amazing that you can reproduce a new tiny plant just from a leaf. I mean you can even accidentally break a stem and place it in soil and it will grow roots. Just like magic another plant forms. The tiny plants growing from the leaves are called pups and the broken stem i mentioned is considered a stem cutting. I normally let the stem cutting sit for a couple days so that it forms a callous. Once it has callused I place it into soil and it will eventually form roots. Be patient sometimes it takes a while for roots to form.
Every time I go to my local hardware store i check out the floor of the nursery and pick up the random succulent leaves that seem to always be on the floor. I always ask whoever is working what they do with them and they always say we sweep them up and throw them away. Then I ask if I can have them. They always give me a weird look and say sure. I mean I cant help but see a leaf and think of the future plant that it can be.