How to get the Yongnuo 603 to work with Nikon D5200?

Anyone know how to get the Yongnuo 603 to work with Nikon D5200?

Added (1). I Plug it in to my camera with the provided cable and everything goes well until I click the shutter release button on the other trigger. Then instead of taking a photo it kicks into movie mode and starts taking a video! Is it because I have manual movie settings on? I shoot in manual. Is there a way to fix this?

Without researching on both devices, you can make it work with the flash in manual or auto mode and the camera in manual mode. Set the camera to the fastest flash sync speed (1/125s should be safe enough if you don't know). Focus on a subject, check distance on the flash and set recommended aperture size on the camera. If the flash does not have a guide, start shooting at f/22. If the picture comes out too dark, lower f/number. If too bright, raise f/number. Shoot again.