Since there are many types of meters, and they all operate slightly differently this is only a very basic descption of how to use a multi-meter.
A multimeter is used to read resistances and voltages. There should be two wires, or leads, that are attached to the meter, typically red and black. When reading voltages the black wire is for ground or negative side of power and the red is for the postive side of the power source. When reading resistance the color do not matter.
To read the resistance (ohms) of an atomizer or cartomizer, you would select the Ohm function on the meter sometimes denoted with the omega symbol ( Ω). On the battery connection end of the atomizer or cartomizer touch one the tips of a lead to the center post, and one to the outside, or threads. The Multimeter display would then show the resistance value of the device. A tricky part on some meters is determining what range of values it is displaying. Typically a digital multimeter only has 4 or 5 digits it will display for a value, and then adjusts this value by a multiplier that it will indicate on the display, or by moving the decimal point. For an analog type meter, the range is selected via the settings dial, and the user has to do the multiplication in their head.
To read a voltage, the meter needs to be set to the voltage function, and sometimes set for AC or DC values. The red lead is then touched to the center post of the connector on a 510 and the black to the threads or outside of the device. to measure the voltage of a battery, touch the read lead to the positive (+) end of the battery, and hte black lead ot the negative (-) end of the battery.
EDIT: Damn the peeps around here are quick...pics and everything.