Docker: Mount directory from one container to a specific path in another

Take a look at docker export.

To quickly list the files in your container:

docker export CONTAINER|tar -t

To export:

docker export CONTAINER>snapshot.tar
docker export CONTAINER|tar x PATH-IN-CONTAINER

Or to look at a file:

docker export CONTAINER|tar x --to-stdout PATH-IN-CONTAINER
# e.g. 
docker export consul|tar x --to-stdout etc/profile

Docker 1.8 supports cp:

https://docs.docker.com/reference/commandline/cp/

Usage:  docker cp [options] CONTAINER:PATH LOCALPATH|-
        docker cp [options] LOCALPATH|- CONTAINER:PATH

update: you should ssh to your docker machine when you run this.

You do not need to perform each time docker run.

docker run is actually a sequence of two commands: "create" and "start".

When you run the container, you must specify the "-it":

-i, --interactive=false Keep STDIN open even if not attached
-t, --tty=false Allocate a pseudo-TTY

Example:

docker run -it debian:stable bash

After the work was completed command specified at startup (in my example bash). For example, you perform the "exit". Container stops:

CONTAINER ID        IMAGE                      COMMAND                CREATED             STATUS                     PORTS               NAMES
1329c99a831b        debian:stable              "bash"                 51 seconds ago      Exited (0) 1 seconds ago                       goofy_bardeen

Now you can start it again

docker start 1329c99a831b

The container is started and again executes the command "bash".
Connect to this session "bash" with the command

docker attach 1329c99a831b

To sum up: you have to understand the difference between the run and start container.
Besides, look at the documentation for the role of parameters "-i t" and "-d" for the "Run"