If you need to replace a broken ceramic tile, then you are going to first need to remove the old grout from around it. A Dremel Tool, such as the Dremel MultiPro Cordless 7700-02 20,000 RPM Two-Speed 7.2V Rotary Tool System w/50 Accessories
To remove grout from around ceramic tile, care has to be taken not to damage the surrounding tiles. A hammer and chisel can be used for removing the grout, however you run the risk of damaging the neighboring tiles. A dremel tool on the other hand, has a high speed rotary head that you can insert various bits onto, such as a cutter, that can make short work of removing old grout.
A dremel tool is relatively inexpensive and has a million and one applications around the home. Take a look at one, prior to making your next tile repair.