Also known as Schlumbergera, this is a small genus of cacti found in the coastal mountains of south-eastern Brazil. Plants grow on trees or rocks in habitats which are generally shady with high humidity and are quite different in appearance and care from the desert-dwelling cactus. These cacti are treated as houseplants here.
I have good success getting my plant to bloom by setting it outside on the shady front porch on the North side of our home during the summer.
You will often find these plants in your local floral shops at this time of year since they are also known as Christmas Cactus. Water sparingly and why not give your plant a 'summer vacation' next year. Let me know if you have success!