A little clarification... Are you looking to store a database within Dropbox, and then access it programmatically (store data, perform queries, etc.) while the content is hosted remotely (on Dropbox)?
Ok, thanks for confirming.
At the moment there isn't an interface via the API that would allow direct editing of content within Dropbox. You can either upload or download the entire contents of a given file, but you can't do byte-level modification on content, such as storing a new record/row of data within a database. Basically, the API does not provide a "file handle" that can be manipulated directly for such operations.
I will pass this along as a feature request, however.
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