My understanding is through a shunt resistor which is basically a piece of thick wire of a known resistance (looks like a giant staple on the inside of a multimeter).
For the high current range, it's sometimes just a piece of wire. But for the lower ranges they'll be precision resistors.
Set one of your meters to measure resistance. Set the other one to measure current on the mA range. Connect the red lead of one meter to the red of the other. Do the same for black. Now change current ranges and watch the ohms reading on the other meter change.
I appreciate your suggestion on the 100 ohm resistor. My gut feeling tells me it probably would not be as accurate as the 4 wire method that I implemented previously that was suggested to me by somebody on this post. Is my assumption correct?
The 100 ohm resistor (For example) will not effect the accuracy of the measurement but does limit the resolution. It simply sets the max current through the entire circuit. If you changed it to 220 ohms, you'd still get the same result after working out ohms law on the DUT:
Thanks for the explanation as well as the experiment suggestion.
Here it is what I got doing the range experiment.
On the A setting I could barely read any resistance it was flickering between .1 and 0 Ohms.
On the mA setting it showed 2 Ohms.
On the uA setting it showed 101.2 Ohms.
Now moving onto the resistor experiment again. I set up the experiment and started cranking the voltage until I was slightly above 100mA.
Here are the results.
15.5 mv (using a cheaper meter)
101.15 mA ( using the best meter)
This calculates to the resistor value of .15324 Ohms
This is in line with the previous experiment, as well as confirming my colorblindness.

Thank you so much for walking me through this. Like I said I knew all of this knowledge previously in terms of the different bits and pieces I just never thought of it at the time to put it together.
My follow-up question is how accurate do you think that reading is? If you had to guess a percentage.
The meter is capable of .1 % accuracy on DC current. The meter that was used for the voltage is accurate to .8%
My guess would be around 1%.