Step 1. Remove the incoming power lead from the breaker (not the load side lead)
Step 2. Put your ohmmeter on the ohms scale
Step 3. Place your leads on the terminals of the breaker and read the ohms that the breaker has
Step 4. Once you have a reading, then determine if you need a new breaker or the old one is still good.
The amount of ohmage through a heave set of contacts like the breaker you are testing should normally read less than one ohm. You may not be able to tell exactly, depending on the quality of your ohmmeter and and whether or not it is a digital vs. an analog meter.
Step 5. Make sure that if you are going to have to replace the breaker and wait to get a new one, tape that wire until you get the new one and replace it. If it's good, go ahead and reconnect the wire. The safest way for both you and your meter is to always remove power before testing continuity/ohms of a circuit.