I followed the directions in the link provided by chadorireborn, but am still seeing a problem with games integrated on a responsive website. For example, I built a game which is then integrated into a responsive website using an <iframe> as suggested. It looks and functions perfectly on desktop, and it also works well on tablet. But when I look at it on a phone, the page and the iframe "respond" to the screen size and fit perfectly, but the game inside of the <iframe> thinks its on a bigger screen, so you can only see a little bit of the game and it's not playable.
What's strange is that the game will scale and fit the phone perfectly if I upload the original index.html file, but once I put that same index.html in the <iframe>, it is too big to see on the phone.
Has anyone else had - or solved - this problem?