How do you transfer a domain from godaddy.com to your hosting account?

For Hosting & Domain
Actually, you can settle your domain point to your hosting /Folder directory and adjust DNS server IP address to your hosting account.

For Domain Transfer
Normally, you can find "Domain management" part of your hosting account at your hosting provider company site page. And then, select "domain transferring" tab to enter your domain name that you want to transfer. Meanwhile, you should go back GoDaddy to unlock your domain; also, you should follow some procedures as verify your authorization code with email confirm...etc. You have to wait 5 days after you complete all the step to submit transfer, finally, you domain transfer to the other hosting company.
However, you'd better consider of 2 things;
1. You have to view your domain contract period; if it gonna expires soon, that's fine you can do it ASAP. Otherwise, you have to know your registration fee have no refund when you transferred your domain still in your contract period; you can do it if you didn't care!
2. this is a real domain that you should pay the registration fee to the other domain company for holding your legal ownership permission. I saw hostgator doesn't really has that, they just said "Domain transfer coming soon and Free?" at the home page. So you have to ask your hosting provider company and I don't think is free but you might have discount for it!