The difference between use (noun) and usage is confusing even for native speakers.

Sometimes the two words can be used interchangeably, but not always.

If in doubt, I think it is usually* safe to simply choose use.

Usage often conveys a type of, method of, degree of, frequency of, manner of, place of use.

A "usage" can also refer to a verbal or written expression itself when describing it as correct, incorrect, unusual, etc.

Here are some examples...

What is the use of doing X? ...of learning Spanish? ... of trying that? ...of going there?

There's no use in crying over spilled milk. ...in going over this again. ... in talking to him.

The use of tobacco is prohibited here. 

Recreational use of marijuana is legal in parts of the United States.

I couldn't rent the exact car I wanted because it is currently in use by another customer.

President Trump's use of foul language is well-known.

He was trained in the proper use of chisels for woodworking. ( 'the proper use of...' is a more or less set phrase.)

Use of these tools is widespread among woodworkers and sculptors.

However, their usage may vary between one artisan and another. ...Anwendungsweise

The usage of "to (not) cotton to (something)" is regional in the United States. usage = frequency of appearance.

Many people confuse the usage of discrete with that of discreet. usage = meaning, application

*Compare these two sentences:

Although the expression "to fancy something" is commonly used in the UK,

...it has little use in the United States. ... may ambiguously be interpreted as ...it has little purpose in the U.S.

...it has little usage in the United States. ...clearly states that it is not often used in the U.S.