The procedure is to dig a trench approx 6" deep or more, squat, do your thing, wipe, toss and burry. It is good to be 20 feet or more from the nearest water source and deeper is better. There are places where the enviro-nazis have made it necessary to carry out your paper, and in some places your organic matter as well. Seems that they aren't worried about the organic matter left on the surface by the deer and bear but that human refuse is just an affront to them! If you camp for an extended period in the same place then you should dig 2 foot or more down and move the trench when it fills to within a foot of the surface. Burning the paper waste is preferrable to carrying it in my opinion but in most cases where you are required to carry you are also forbidden to start fires. There are makers of "biodegradeable" TP whose product presumably breaks down faster or more pleasantly but If you have ever tried to pick up a piece of soaking wet TP before you know that all TP is pretty darn Biodegradeable.

I find that as long as I can secure privacy during the act I am able to dig sufficiently with the back of my boot heel, and cover the remains well enough by scraping the disturbed dirt back intoplace that there is "no trace" of my activities that would be detectable by the casual observer. OTOH I wouldn't think that I had fooled a tracker or carnivore (or rabid enviro-nazi who saw me comming out of the woods three days later without the required baggie full of stuff).

Just my $.02.

Just so you know I am not completely ignorant - the reason for burying the stuff is that it often contains infectious elements that other humans may be affected by. As such it is more of a problem to the humans than would be deer or bear refuse. Tho, the source of most filterable crypto and giardia is animal refuse which is dropped innocently at the waters edge while they are at the watering hole getting a drink.