Apply to
This is the idiom that is used when you are putting yourself forward as a candidate for something such as a course of study, or a job.
E.g: You apply to graduate school.
       You apply to a company for employment.
       You apply to a bank’s loan department for a loan.

Apply for
This is the expression that is used if your intention is to obtain something.
E.g: You apply for scholarship money.
        You apply for admission.
        You apply for a job.

Apply with
The word with in this idiom implies agency, the means “by which” you apply.

E.g: You can apply with the click of a mouse.
        You can apply with a printed application.

 

Here are some other uses of the verb apply, with and without dependent prepositions:
   1. Apply paint to a surface.
   2. Apply ointment to a wound.
   3. Apply a cause to a quarrel.
   4. Apply a remedy to a problem.
   5. Apply a rule to a situation.
   6. Apply pressure to a wound.
   7. Apply pressure to a person.
   8. Apply a patch to a garment.

 

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