Remove the entire plant(s) from the pot.

Gently shake out and remove all the planting medium.

Separate the two plants.

Rinse the roots in cool water and cut away any dead, broken or very soft roots.

Make sure your scissors or pruners are clean and sterile.

You can use a little rubbing alcohol to make sure.

Re-pot in a tight plastic pot with drainage. 

Use fresh potting medium specifically sold for orchids.

Place it in a pretty pot.

Place your orchid in an area with indirect light.

Water once a week. by taking the pot out of the pretty container, and run it under lukewarm to cool water for a few seconds.