Now the considerable role in a society life is played by the Internet which simultaneously is as the huge information system which is constantly filled up with a database, and the means of socializing by social networks, blogs and chats. A basis for remote training in the Internet is the educational environment (platform) – the system of control and training focused first of all on the organization of interaction between the teacher and pupils. The project in sphere of remote interactive formation Coursera is considered in given article. It represents base of the free online courses placed on a uniform platform in the Internet. The project co-operates with various universities in many countries of the world, whose teachers publish and conduct courses on various branches of knowledge. It has been passed by me on portal Coursera the course «Corrección y estilo en español” by Independent University of Barcelona. All spectrum of a problematic of modern Spanish language on a material of the comparative analysis of translations into Spanish by the novel of Jerome Salinger «The catcher in the rye» became a subject of studying of the named course. Such questions as morphology of the Spanish language, syntax and punctuation questions, lexico-semantic aspects of modern Spanish language, a problematic of style and translation of the literary work were studied. Remote training is capable to realize such methodical problems as: focus of the student to self-training, development of communicative techniques that answer pragmatical problems of training, orientation to intercultural communication, use of the newest technologies as the basic motivating factor for the student. Similar sort educational projects give to teachers a possibility to use forums and social networks both with the methodical purposes, and to develop and maintain contacts with colleagues from different universities and countries. By means of advancement of educational activity of chairs and universities Internet gives a high index of quoting of educational and searching works.