An SQLite database is just a file which resides in the file system of the device. So each device will have its own database with its own data. If you want to store data in the cloud you have to do something on the server side.
If you want to have a solution on the server you might want to go for a PHP script. PHP has sqlite access built in. However you can use other scripting languages as well.
Or on another line something like https://cloudant.com/ . But there the data is not stored in relational tables but as JSON objects. Access is as well through the http protocol (restful).
Related question
See also here How to retrieve data from a server
Suggestion
Please do not forget to use the search box of this web site. E.g. by searching for
sqlite cloud
you get
https://stackoverflow.com/search?q=sqlite+cloud
which has as the first answer
A: Can I use the SQLite as a db storage for cloud-based websites?
So your question needs to be more specific.