There are a number of ways you can go about finding the cheapest place to live in. You can do a search online to narrow down the city and/or country that has the lowest cost of living and the most affordable housing. Once you know what area you want to be in, you can make other decisions such as if you will be renting or buying and if it will be in a condo, house, apartment, trailer home, or tiny house. With those things in mind, then you can look up rental or purchase sites and scour them for deals. Pick your favorites and sign up to be notified of new listings and changes in any present listings.
Also, reach out to friends, family, and online social media groups that post about living quarters. Ask them point blank. Often, the best places come by word of mouth so get it out there that you are looking. You are sure to find the best deal if you do all of your homework.