With the arrival of HTML5, Android put Flash Player aside. So Adobe decided to abandon the official support for Android, although the previous versions could continue to be installed manually, but with KitKat any type of compatibility has disappeared, since there are few Flash content that we find on the web, and is that HTML5 took its throne, and despite the "abandonment" of Adobe, it continues to update its versions for previous devices.
What version do I download?
Flash for Android 4.4 KitKat
For the latest version of Android, the official package is not worth us, we have to download a modified version. To do this, we download this file (Mirror) and install it, taking into account that we must have the box to be able to install third-party applications activated. We will also have to uninstall any previous version we may have.
Next we download the Dolphin browser, and a little extra, Dolphin Jetpack. Then we just have to activate the Flash option of the browser, accessing Menu -> Settings -> Web Content -> Flash Player. Now we can enjoy Flash content on our Android KitKat. Keep in mind that this is not official support, so some content may not be displayed correctly or we have an unexpected bug.
Older versions of Android
The steps to follow are very similar: we give permission to install third-party applications and download from the Official Site the version we want. We install it and that's it. Now we just need to download Dolphin, Firefox or Opera in its normal version. It may not be the most comfortable, but it is a solution to be able to enjoy the Flash content of certain websites.