Here is what you can do to get your website ranking higher after Google’s Penguin Update.
 

1. Do not Spam websites with meaningless keywords in the content.
2. If your website is displaying Ads on the top of the page, make sure they are accompanied with useful content.
3. Improve your social presence using Twitter, Facebook, LinkedIN, Pinterest, and of course, Google+.
4. Work to increase time spent by users on the website and reduce bounce rate.
5. Have a blog on your website and update it weekly. It helps to have your latest posts linked on the home page.
6. Enrich your content with videos and pictures.
7. Submit your website to Webmaster Central and notice if there are any issues being reported by Google. If any, eliminate them.
8. Google’s web spam update is primarily aimed at affecting the rankings of websites engaged in manipulating web pages to benefit search ranks for particular keywords. Even if your website is of great use for visitors, over optimization can lead to search rank penalties.

Here is some more info and discussion on this topic on The Verge Forum.