Step 0 is register your domain
Free hosting with Amazon EC2 (free for 1 year)
1. Sign up for the free tier of AWS (Micro Instance) http://aws.amazon.com/free/
2. Learn enough Linux to be able to deploy your site
3. Setup your instance to serve your website, with script to update DNS records on start up
4.Transfer your DNS to DynDNS /afraid.org/any dynamic dns service provider ($30/yr roughly)
Free hosting with Google [Easy Mode]
1. Sign up for google App Engine https://developers.google.com/...
2. Use Google Sites to create your website with predefined templates
3. Change your DNS CNAME record to point to Google's servers
Free hosting with Google [Hard Mode]
1. Sign up for google App Engine https://developers.google.com/...
2. Learn Python, Go or Java. Or just enough to deploy a CMS on AppEngine
3. Deploy your CMS on your custom domain
4. Change your DNS CNAME record to point to Google's servers
* As a bonus, you get to use Google's global CDN for free.
Both these have resource usage limits, so if your website exceeds them (by being very popular), then you would have to pay. But that's a good problem to have, and the free usage caps are quite generous