You don't. You convert your mov file to a mp4 h264 encoded file, and import that into Flash. Then export to swf (in a folder), and you use that swf in your page (do not forget to upload all the other assets as well).
Alternatively, convert to html 5 video files which are also supported by mobile devices.
With such expensive and high level software, It is hard to believe that Adobe CS doesn't convert an H.265 (mp4) to .swf so the video plays on a browser. Dreamweaver has a link spot for the .swf file to play the video portion of the video. Without the .swf file in dreamweaver, only the audio plays in the browser. Seriously missing something.