The main thing to know in the analyses of circuits, where some unknown parameters have to be calculated is to apply the Ohm's Law or Kirchhoff's Law.
Ohm's law says that the voltage drop across a resistance in a circuit is V = IR.
Kirchhoff's Law says that the total current flowing into a node is equal to the total current flowing out of the node. It also says that in a closed path in a circuit, the total voltage drop is equal to the sum of voltage rises.
This page (accessed 10/6/15) provides some details on the Ohm's law, and here (accessed 10/6/15) are some details on Kirchhoff's law. Now for doing the calculations, there are several rules and special cases to know about:
Simple resistive circuit: Find the equivalent resistance, and voltage, and then using Ohm's law with equal current through all resistors, find the voltage drop for each resistor. This page (accessed 10/6/15) has much explanation and examples. Also this file I found from Youngstown State University has some illustrations.