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In a large bowl, whisk together the flour, salt, and pepper.
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Add your beef chunks and coat each piece evenly in the bowl.
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In the meantime, get your oil nice and hot on medium-high heat (but not smoking, of course - please don't burn your house down) in a large skillet.
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Sear your beef in the skillet. It might be easiest to do a few portions of the meat at a time. Just sear each side of each piece. Don't worry about it being totally done. Believe me, you'll have PLENTY of time for cooking it through later.
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While the beef is searing, put your onions, garlic, and root beer in a slow-cooker, stir.
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Place your seared beef in the slow-cooker, put the skillet back on the stove (still on medium-high heat).
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Put the beef stock in the hot skillet and scrape off all the goody-bits, and let it come to a light boil. Add the additional salt. Then put the beef stock in the slow cooker with everything else. Don't stir.
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Cook in the crockpot on low for 8 hours. Patience. It's worth it.