A couple of things from beef country, here in the western U.S.... There are two types or methods of aging beef... dry and wet. Dry aging is the method that produces the most flavorful and tender beef... however, the method causes the beef to shrink or lose about 18% to 22% of it's weight, therefore, it's not popular with meat markets. They prefer the wet method, where the beef is cut into smaller pieces, rather than sides or quarters as in dry aging. Those smaller pieces are then vacuum packed and then cooled for a shorter period of time and, therefore lose much less weight... which you the customer pay for.
Dry aging is done in, as already suggested, a cool room... at least 34 to 38 degrees F and moderately low but constant humidity. Takes about 21 days, during which time enzymes break down connective tissues in the muscle mass producing the tenderness and flavor so cherished by true beef lovers. We have an old converted cooler from a transport truck (ya'll call it a lorrie, no?) that will hold two or three whole beeves as well as several deer and elk from the fall hunting season. Game animals age just as well as beef. However, ironically, you can't take several steaks or roasts and try to age them and achieve very good results...