Just got back to this. I have killed many caribou. Finest eating of all the deer family but entirely different from our whitetail due to their diet. They live on mosses and lichens. Unlike our deer, all the fat does not have to be trimmed. In fact, it adds to the flavor much as it does on beef.
When making stew with our deer meat, I have found that first you simmer the meat for a few minutes. Then pour off the water and rinse the meat. That removes most of the fat. You'll notice the water is dark and scummy. You won't find that with caribou. Once you have simmered the meat, season it. Then make stew as you normally would but never on high heat...just a simmer. I like to use beef stock for my liquid and I use a lot Kitchen Bouquet and several of those things that look like pin oak leaves. If you have never tried, add a cup of black coffee to your liquid.
If you want to try that caribou recipe with our deer, let meat get at least half frozen before slicing. We do that to make deer and pepper subs. Just make sure you trimmed it well before cooking.