I think the first part of the book was published in 1928 or somewhere in the 1920ies in a journal called "Octyabr" (I hope I didn't mix up the journals here). It was published in series and was a great success. Then the journal apparently stopped publishing it because they may have thought it too explosive or anyway not in accordance to Soviet ideology. Stalin then personally intervened and ordered the publishing to continue (no one really knows why or at least I didn't find any explanation, but Stalin was a strange man with many inexplicable whims and, being a Georgian, used to be responsible for ethnic groups under Lenin, perhaps he liked that sort of ethnic thing). The remaining parts were then published in another journal and people cued up mightily to get an issue. They even wrote letters to Sholokov to let the lovers come together. I think the last bit was published in the 1940ies.
There is still a dispute if Sholokov really wrote this book but newest research believes he did. I personally find this odd, knowing Sholokov's "New Land under the Plough" and "Destiny" (rough translation of the German titles). Destiny is great and always makes me cry, but they are really different in their ideological habitus. Sholokov also became a big shot in the Communist party and in the literature scene and once said, when faced with literary dissidents, the Gulag would be too good and too merciful for them. I find such a view difficult to reconcile with the Don-book where he takes a very measured and truly realistic stand. But then, I think no one so far has really looked in the double-mindedness, the scissor in our heads we all experienced. It may well be that this a phenomenon which had an impact on how incoherent political viewpoints and commitments were. Perhaps we all have been a bit incoherent.
The Fedin books of the trilogy I mentioned are called (again translations from German): Early Pleasures (plays before the revolution, lots of small middle class, merchants, proletarian trash and artists), An Unusual Summer (revolution and civil war) and The Flame (1941, attack against the Soviet Union). The characters are the same, is like a saga. if you are interested in that sort of thing I have a CD with original recordings of the Russian Army Choir from the 1940ies. Some of the stuff makes your hair on the neck stand up. It also has some revolution-time songs. I can find out if it is possible to send some of the songs via the internet. I am so glad to have found someone who is interested in Russian or Soviet literature of that era, here I am the only one who reads that sort of thing. So if you would like to continue, perhaps in another thread, I would be very delighted. The private messages allow only 2000 signs, alas. Have you ever heard of Tshingis Aitmatov or Daniil Granin (wrote after the WWII)? There is some really good stuff out there. There is also a book called "The Good Stalin" by someone called Jerofeyev (but I check this up). He is the son of Stalin's interpreter for French and writes about his experiences has a child and young man. Its not only about how the Intellegenzija lived in Peredelkino but also about the difficulties they had to face, again "reconciling" their existence as artists (one of their neighbours was the Pasternak family) with their own political opinions and the behaviour they had to display in order to survive.