Olimpiad question: For how many different integers n will the expression (6n²+5n+4)÷n also be an integer?

For how many different integers n will the expression (6n²+5n+4)÷n also be an integer?
We'll be glad to help, as soon as you provide the requested content; namely, a complete listing of your thoughts and efforts so far.

Thank you!

Eliz.
 
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