Hi,
Installing prestashop on host gator is very easy task. I have Prestashop version 1.5 and 1.6 running on hostgator since last 6 months on shared hosting.
Upload all files in specific folder ,run installation script and give permission to required folders,create database and give permission to database tables.
PrestaShop Tutorials Videos [How to do Tasks]
https://www.prestashop.com/forums/topic/907438-prestashop-tutorials-videos-how-to-do-tasks/