Wino, before I even got done reading your post I already anticipated larsmans response.
You have to admit some of these responses were pretty funny.
On a serious note; my wife has the same issue with her iPad. She'll charge it, turn it off, unplug it. But damn if the next morning she's down to 20 percent on her battery . Different technologies, but similar frustrations.
Hope it's just your remote. Good luck.