Dirty cameras are gross. This video provides a quick tutorial with demonstration on cleaning a camera. This process can be used on any camera, film or digital, SLR or any other type. To clean your camera you will need the following tools:

Rocket Blaster or similar (not shown in this video)
Cotton swabs of any brand, though those with cardboard or wood stems work best
91% rubbing alcohol (70% will also work but more slowly)
Lens cleaning tissue
Lens cleaning fluid

For large dust particles on the camera's focusing screen a Rocket or bulb blaster will remove most of the dirt particles. A dry cotton swab will also work to dab away at the dirt. Chemicals should never for any reason be applied to a focusing screen because they will melt the focusing screen texture and render part of the screen unusable. The only fluid that should ever touch a focusing screen is distilled water. Also, cleaning a focusing screen should only be done with a dabbing motion, never a wiping motion.

To clean a camera, wet a cotton swab with rubbing alcohol and simply clean the surfaces until the cotton swabs stop coming back dirty. To clean the lens and viewfinder, lens cleaning tissue and lens cleaning fluid are the best options. I prefer to use a lens cleaning fluid spray bottle as the mist provides better surface coverage.

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"Call Waiting" by future Joust used under active license from Epidemic Sound at the time of this video's upload.