If you want to backup a website hosted at GoDaddy, for example, to upload it to your hosting account at Hostinger, follow these steps:
Log in to your GoDaddy account and obtain your IP address, FTP username and FTP password
Connect to your GoDaddy FTP account using an FTP client, we recommend FileZilla
Navigate to the location of your website's files, eg. the public_html folder
Select your website's files and directories and then drag them into the Local site section on the left side of the FileZilla window
NOTE
Websites created with the propietary GoDaddy website builder cannot be downloaded or migrated
Additional Resources
You can check the guides from GoDaddy here on how to download website files: Move a cPanel website with FTP and FileZilla and database: Export MySQL databases
If you need further help, make sure to contact GoDaddy support