Mezhdu Nami (Между нами), the first fully-online introductory Russian textbook, was released publicly in the summer of 2015 and is rapidly gaining popularity. "Mezhdu Nami is a free, web-based textbook that provides a comprehensive introduction to Russian language and culture. It is organized around the experiences of four American students, each spending the academic year in a different Russian city. Their interactions with host families, roommates, fellow students and teachers create a universe of contextualized information that motivates the use of the target language in the classroom"
By Lynne deBenedette, William J. Comer, Alla Smyslova, & Jonathan Perkins, 2016.
Both in English and Russian
The largest publishing houses in Russia specializing in Russian as a foreign language: