There are plenty of YouTube video describing how to use MOA. It's actually pretty easy once you get the hang of it. It's a lot harder to describe than to do.
But, in short, if you have a known object, say a 12" round gong, then you use your MOA reticle to meaure it's size in relation to the MOA hashmarks. So taking a look at the picture you post, if you dial back to Min Power, "F" is 12 MOA, or about 12" (yes, it's not really 12", I know) at 100 yards. If you range that gong at being the same size as F and Min Power, then the gong will be 100 yards away. Likewise, if the gong appears to be 1/2 of F, then it would be about 200 yards away, and so on. Likewise, at Max Power, each hashmark "E" is 2 MOA. So at 100 yards, that 12" gong will appear to be 6 hash marks. If it appears to be 3 hash marks high, then the gong is really 200 yars away. Etc.
I probably just did a piss-poor job of expaining it, but there you go. To better understand it, take a known object, put it at 100 yards, and play around with the magnifications and hashmarks, see what makes sense. Move the same object out to 200, 300, 400 yards, and repeat. It will make a lot more sense then.