I have done it a number of times when I had my 8 inch reflector, which has now gone to another good home.
Anyway, it is not a daunting as it is made out to be if one is careful and follows a few basic rules.
It is really this easy, just fill a clean sink or basin/bowl with luke warm water, and a few drops of dish washing liquid, and swish it around a bit until it is mixed in with the water.
Take you mirror by the edges only and completely submerge in the container/sink, and just swish it around as well with the water flowing over all the mirror, a few minutes is plenty, or as long as you like really.
Take it out rinse under the tap to remove all soapy water, and finally rinse with distilled water, then just stand it on end and let it naturally dry.
It really is that easy, and it wont be damaged, just dont put your fingers all over it.
If you like you can also swab it under the washing water with some cotton wool, if you do everything under the water before the final rinse, it will be all good.
Leon
However just an EDIT,, I have done it this way, but you do it at your own risk, it is a careful/common sense approach.