Embedit, a service that allowed you to embed files on your site or blog that I wrote about May 30th, is no longer accepting new embed files. They were purchased by Box and their site now recommends you go to Box for your file sharing needs. Existing embeds you have done through the service will work through September 1, 2012. For more information, please see their FAQ.
Box, known for giving away lots of free storage through the purchase of different devices, doesn't have an embed feature that I could find, but does let you share files through links.
You can easily use Google Docs to share and embed documents in blogs and websites also.
Embedit - embed any file in your website or blog - free