Here’s an example from Cracked, but this practice can be found everywhere.
Especially in this age of blogs, the comfort level to keep scrolling down on a page seems to be steadily increasing, so I’m not sure why a site would require the user to perform an an action (a click) to continue reading.
Does this have something to do with gaming page requests and site traffic to improve search engine results?
It probably has mainly to do with advertisements. If an article has 3 pages that is 3 times the adds.
Multiple ad impressions, but also, the ‘below the fold’/‘after the jump’ thing is supposed to give you a lightweight feel for whether you want to read the article, without downloading it all or scrolling.
I went to this URL and it is all one page, scrollable all the way to the bottom.
I also suspect designers do it to increase ad impressions. Although I am pretty sure in today’s per-click and per-sale ad pay models, the number of impressions doesn’t really matter anymore.
On edit: ah yes it is split in two pages. I thought since it is “5 stories” it would be split into 5 
Cracked is actually one of the good guys in this; they split their (usually well-written) “Top x whatevers” into two pages, usually, or three at most. It’s more common to have “Top 10 cities for people with excessive back hair” and “Top 20 things to do while you’re in a coma” articles with one page dedicated to each city, thing to do, etc.
ETA: Cracked also works just fine with JavaScript disabled, which this NoScripter is thrilled to see. Too many sites load their content—even just plain text—via JavaScript, which is a daft and annoying practice.
It’s all about info and ad impressions, although many sites maintain the pious notion that it’s about keeping your browser or screen from being overloaded with data.
Remember that even now browsers are essentially passive devices: you click, the server sends a page, and then nothing else truly interactive happens until you click something else. So breaking a story or article into 2-5 pages means you click repeatedly, forcing new ad impressions and strengthening the received data. As with so many things that are presented as being for your convenience, they’re really for the producer/seller/advertiser/marketer’s benefit.