If I am "homeless" researcher, where can I get affiliation? I cannot attend any western university right now. I can relocate in future.

But I already have article which will soon go into publishing process. So affiliation could be useful right now.

I do not like idea of publishing without affiliation or with affiliation to institution which do not work within my field (molecular dynamics). 

I don't like idea of putting affiliation with institution which does not pay for my job.

Where and how I can get affiliation for myself? Should I ask for affiliation directly? What if I can possibly work for that institution in future?

PS.
I attended to many universities. Article I have was made while I attended to small one building institution (csu.ru). Institution did not pay for article nor I have any grants. Only payment I received was for teaching junior classes 2 years ago.

PS2.
Ethically I should put ALL contribution to my work.
But I didn't use laboratories, nor computer power, nor payment for last 6 months. The main expenses were computing equipment for about $2000 which I bought with money from my teaching. I was enlisted for some grants, but I already did my "payment" for this with other article, so everybody is with good relations to me.

PS3.
My previous affiliated institution is not involved for 6 months already, during this time I did my work. No, I don't intend to slap my previous institution, but I am looking for new one.

Should I just email people from other institutions with collaboration proposals and publish under their institution?
Affiliation isn't a commodity to buy and sell.  It is simply a statement that at the time of researching and writing this article, you were affiliated (as a student, employee, or similar) with a particular organization.

From your question, it sounds like at the time of researching and writing the article, you were a student or employee of Chelyabinsk State University, so standard practice would simply be to list your affiliation as "Chelyabinsk State University".  If you are not enrolled or employed there any more, then list a "current address" stating how to contact you.

Ethically, if you feel that CSU contributed nothing to the work, and you did it on your "own time", then you could omit it; in which case, you would list no affiliation at all.  But this would likely be perceived as a petty insult to CSU, to the extent that anyone noticed it at all.

Affiliation should be determined only on the basis of what you were doing while you prepared the article.  Anything that happened after the fact is irrelevant.  You can't "get" a different affiliation for a paper you have already written.