Have paper, pencils, a multimeter, a bright light and the 'net to hand.
Draw small sections of the circuit first, find the controller chips and datasheets, they'll probably have an application circuit in there which can make your life a lot simpler, most manufacturers don't stray too far from the application notes for commodity items.
The bright light can help if it's a fibreglass board as some are translucent and you can trce tracks on a double sided board by holding it up to the light.
The multimeter because you can use the continuity function to trace connections and 'buzz out' transformers, chokes etc.