I have never processed an Elk, but have done deer and wild boar, as well as smaller game.
I bone the meat - ie. remove the meat from the bones. I don't want to use up my freezer space storing bones! I do NOT saw bones. I do not want bone fragments and chips and dust taking bacteria into the meat, to aid in spoiling it. That is the single biggest reason I won't let commercial butchers touch my deer. ( I learned this the hard way when hunting wild boar.)
I cover a kitchen table made of oak, First with newspapers, then with Alum. foil, then with plastic wrap. I put newspaper on the floor around and under the table, too, to catch any blood or scraps.
Tools involve several VERY SHARP Knives. The only reason I use more than one is so I don't have to stop to sharpen a knife in the middle of something. I have been sharpening knives by hand since 1959. My knife blades are all razor sharp.
I cut off ALL SINEW, LIGAMENTS, AND CONNECTING TISSUE from the meat, but this is a secondary trimming operation that I do AFTER I first cut away the muscles from the bones. The Sirloins, on the top of the back, running alongside both sides of the spine, will be covered with tissues that appear Blue in good light. If this is not removed, you get bitter, tough meat, instead of the tender loins that make the best eating. The tenderloins run UNDER the spine, and run parallel to the spine. Both are the best cuts of meat. I remove them first to get them out of the way for boning out the ribs, and the rest of the meat.
Bones and Wild Game fat, and "white" tissues contain enzymes that continue to affect the meat even during storage in a freezer. The sooner you remove those tissues, the better tasting your meat will be at the table.
I soak my venison/boar, etc. in a sink filled with water and salt, or if salt isn't available, then vinegar, to pull the blood out of the meat. This takes a couple of 1 hour soakings, and I drain the water after the first hour, clean out the sink, than use CLEAN water to take the Salt out of the meat with the second soak. Add Ice to the water if the water is not cold enough to prevent spoilage. I cut the large muscles in the hid legs off by separating the muscles from the sinews that hold the muscles to bones. The largest muscles will become "roasts". Some of the medium muscle will become steaks. The rest will be cut up into 1" cubes to use for making Stroganoff, or venison chili. The scrapes go into a bowl and will be ground for either sausage or burgers.
I buy extra Beef or port suet- whatever I can get. I want enough suet by weight to be about 25% fat to ground meat in ration. That means I have to weigh the scraps when I finish my boning work, to determine how much suet to use. I usually buy 5 lbs. of suet, but that is for Eastern Whitetails. If I were working on larger deer, or Elk, I would increase that amount accordingly.
I use an old-fashioned, Hand-crank, Meat Grinder. Its attached to a 2 x 4, then the 2 x 4 is clamped down to my table top. I first grind the scraps with a coarse cutting wheel in the grinder. I do the same with the suet. Then I mix the two together, in a huge mixing bowl, by hand, and then grind them together using a finer cutting wheel in the grinder. Yes, its work, but its worth the effort.
I have a Venison Sausage recipe on this forum, down at the bottom of the index page, which lets you make sausage without a sausage press, or fetal pigs intestines. You can use any spices or recipe you like for your sausage. The recipe shown makes a mild summer sausage.
Because I separate the legs from the body of the deer, its a bit easier to work with these parts on the table or counter tops. you can keep the rest of the deer under ice while working on the parts.
My first deer took almost 4 hours, working with my mother-in-law to get to the stage where the muscles were dried, checked for dirt, fur, and debris, which we removed, and then placed into pots and container, covered, and placed in my refrigerator to AGE. I noticed this last time That I now can process my deer in under 2 hours, doing the work myself.
I notice that no one talks about eating fresh liver when they have a deer "in camp". This is the best part of any deer, as the liver contains lots of sugars, and is a tender as Prime Rib when cooked fresh.
I cut the liver into steaks, about 5/8" thick. I dust them with flour, salt and pepper, then seal the meat by frying the liver steaks in hot fat in a cast iron skillet. About 1 minute a side.
Then the steaks are laid out in another roasting pan, with water, and sometimes apple juice in the bottom to keep the meat moist,then cover the liver with strips of bacon, and slices of white onion. Foil over the entire mess, and into an oven at about 300-325 degrees for an hour. The liver comes out medium rare, and so tender you can cut it with the side of a fork. And SWEET TASTING! I have served liver to young kids, who thought they were eating prime rib- not liver. Fresh liver cooked properly, is one of the Great SECRETS about eating wild game.
In camp over an open fire, simply let the liver "cook" in a separate skillet, covered in bacon strips and white onions, with some kind of lid over it.
Take that skillet off the direct heat, so that it cooks slowly. Medium Rare is as "hard" a level of cooking wild game as you want, if you want tender meat, with flavor. "Medium", "med. well", and "well done" simply turn good meat into shoe leather, that is bitter. Some people like that, I know. With fresh liver, cooking the meat too much burns the sugar.
Anyone who has eaten Burned Cinnamon Raisin toast will instantly recognize the bitter taste of the burned sugars. UGH!
This what those cooks did to liver when I was in Grammar School in the 50s,when the government sent out liver to schools to improve our diets. The liver was cut in very thin strips, and you could not help cook it too much, with it that thin. It was bitter tasting, and tough, and most of it went into the garbage can.
Until I had a good liver steak in a deer camp one year, I hated liver, like the rest of us. Now, I throw a party for friends who like fresh liver, when I get a deer. Friends invite other friends, and we all sit around the dining table devouring fresh liver. You never have seen a quieter table of diners than when that liver is served. We all laugh about it and at ourselves.