The post as written was clearly trying to push anti-stoning polemic (which is wholly unacceptable here) and pretty much the entirety of your post that was original content was irrelevant to the actual question asked. If I were to remove all the Truth from your post, all that would remain would be:
The how comes from a sahih Muslim hadith where:
ثُمَّ أَمَرَ بِهَا فَحُفِرَ لَهَا إِلَى صَدْرِهَا وَأَمَرَ النَّاسَ فَرَجَمُوهَا
...And she was put in a ditch up to her chest and he commanded people and they stoned her...
This is not an answer: Evidences don't speak for themselves. The question is asking how the stoning is to be done, whereas the hadith just says "…and they stoned her…" which does not really explain anything.
The only aspect of the question which is actually touched on by your answer is the mention of the ditch (as the question mentions the punished being dug into the ground), but it ignores pretty much everything else; the question for example explicitly expressed confusion about hair-covering, which you did not even touch upon.
As written, the whole post looked to be nothing more than an attempt to push your opinions on others than any honest attempt to actually answer the question asked. So I deleted it.