so, let's say you suddenly put an uncharged capacitor in a circuit. it takes a while to charge, i.e. it takes a while for the charge on its plates to rearrange such that their voltage drop will be zero. when this happens, there is no longer any current in the capacitor. so, the capacitor is like an open circuit, i.e. infinite resistor.
so, in this case, just erase that part of the circuit; no current can flow in that branch.
so, when they say the capacitor is charged or its been in for a long time, it'll mean that the capacitor is an open circuit. ignore its branch, and use normal circuit analysis to find the circuit out.