You also seem not to properly understand how money multiplication works. Banks don't lend money they don't have (thus no "creating money out of thin air"). They can only lend money they have in deposits. Technically, they can in fact lend money they don't have, but they will have to close this imbalance as soon as possible...
To better understand what's going on here, think not in terms of money (since both loans and deposits are the same money which is confusing) but in terms of assets and liabilities
Here is a nice animation about "the creation of money", which you euphemistically call "money multiplication". Sorry, it's in Dutch, but you will get the gist ... hopefully.
http://www.trosradar.nl/standalone-player/aflevering/16-12-2013/geldcreatie/#sites/radarextra/animaties
Sorry, I didn't understand it, could you please explain the scheme as you see it? I'm always curious what are people's own thoughts on the theme, lol. Also, the term "money multiplication" is an official one, so in any case it is not me who called the process so...