There’s a difference between continuity and resistance (measured in ohms).
Continuity is a yes or no. You either have the flow of current through a conductor or you don’t. On most multimeters, a 1 indicates an open circuit, in other words there is a break in the conductor. A 0 indicates continuity. Some meters have an audible beep to indicate continuity.
Ohms is a measurement of resistance to the flow of current through a conductor. This is a more sensitive measurement that can indicate a variety of things from bad splices, corroded connections, a poor ground, etc.
Depending on what problem you are trying to diagnose, it may be better to measure DC voltage at various points. You need to have at least 12 volts along the entire run of wire, front to back. If any point you test is below 12 volts, there’s a problem there that needs to be found.
It sounds like you may be confusing continuity with the measuring of resistance.
IMO, if you are trying to chase down a broken wire, a test light is the go-to tool. You connect the trailer lights to the vehicle and then use the test lamp’s needle-sharp end to test the wire at various points to determine where the break is. Find the point where the current disappears and between there and your last good test point, you have a broken wire. I just find these tools faster and easier to use than a multimeter for this function and they are all of $5 at the auto parts store.
Grouse