how to fill out a document on your phone - GADGET
When you need to sign a document that's sent to you as a PDF or a Word file, you can easily take care of that using your phone. Whether you use an iPhone or an Android phone, both include built-in ... And you can fill in a form because you're supplying missing information.
Understanding the Context
Fill out is generally used when you tell someone to enter all the fields on a form of more than one field. Example: Please fill out this form. Fill out means to complete by supplying requested information. “The aid is intended to fill the food shortage in the area”.
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But your example sentence is very strange, and not because of the choice of verb. In “We can X each other’s shortages”, I can’t think of any verb that would make the sentence make sense without having to think up highly specific contexts. In my experience (Aus) a prescription is filled out (sometimes abbreviated to filled) by a pharmacist when the medicine is dispensed. Forms are sometimes filled out, but more often filled in. Is it "to fill a prescription" or "to fill out a prescription"?