How to take a picture like this with a dlsr?

Specifically with a nikon d5200 if possible… Or just list the aperature, iso, etc.

The only way to learn something is to invest some time in learning about it…

It isn't a difficult shot to replicate… And I wouldn't be doing you any favours by suggesting the best method… Do yourself a favour and borrow a photography guide book, try reading it a few times and then practice what it suggests.

The D5200 is a decent enough camera and is capable of much more interesting 'shots' than the effort in your link.

Giving you the camera settings will do you absolutely no good unless you somehow manage to recreate the exact same lighting as the original.

Maybe you should learn how to use your camera instead?

By "dlsr" I assume you mean DSLR?

Did you post the correct link? That's not a photo I would imagine anyone would want to reproduce. Ever.

For a start, stick the setting on to Full Auto and see what you get.
From there you can adjust your settings according to how the Auto ones came out.

The fact that you've asked us to list settings means you don't ahve a clue about photography!
We can't just give you 'settings' - it depends what lighting you are shooting under.

Read your camera's meter, or hell just stick it in Auto.