The Jack Shafer method, from Slate:
When time allows only a quick lap of the news, I navigate my broadsheets thusly: I read the hed, the lede, and the first couple of paragraphs of every story that appeals to me with the same care the reporters and editors assembled them, which is to say with high concentration. I then read the piece through to the first quoted source and scan the rest until I encounter a paragraph whose topic sentence promises additional novel information. The longer the article, the more likely I am to shorten the scanning process by jumping to the three-quarters mark, where I often find something close to the beginning of a brand-new—but related—story. Then I speed-read to the finish.