Actually there is another way to do this too. You can keep the 11.0592 MHz crystal that you have now, wire it up into a couple of CMOS inverters in the classic crystal oscillator circuit, buffer the oscillator with another one of the inverters, and drive that into the clock of a D-type flipflop that has the Qnot wired back to the D input. This will divide the crystal by two and give you a 5.5296 MHz square wave that you can then connect to the X1 pin of the microcontroller.

Michael Karas

PS...But surely either programming the bit is a whole lot easier.
MJK