How do I redirect the runners of a houseplant?

I have an orchid that someone gave me. It seems to be doing okay. It has thick waxy leaves at the base that stay green all year. Each spring for the two years that I have had the plant, it sent up two shoots that grew to a height of about a foot and a half and produced flowers that were large compared to the size of the plant. In the fall the shoots died back.

This fall, it produced what I initially thought were a new set of shoots, but which must be runners, since thay are growing horizontally. Is this a sign that the plant is healthy? Are the runners above ground because there is no room for them to grow inside the pot? I would like to get the runners to go into a new pot. How can I get the runners to stop growinng horizonally and go into the soil of an adjacent container?