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Is it possible somehow with Kotlin coroutines to do a behaviour like:
a request(r1) comes to server, this request is handled in a thread from thread pool, 
server does some work in that thread, after this server make a request to remote server, at this moment this thread should be returned to thread pool to handle another request(r2), 
after remote server returned a response, request(r1) should continue work from moment when was made a remote request

rrader: That's the primary use-case for coroutines (that is, that is exactly what they were designed for)

it is a bit hard to understand how it should be, I see something like <https://gist.github.com/anonymous/00c645a313c854d784186fb0da85b829>
can you supply some examples how to make that I described?

You need to write (or find) async http library first

Kotlin coroutines is a language feature (for library writers) not a framework