Add instructions for running in Docker
diff --git a/README.md b/README.md
index 5afde22..6c1ffe9 100644
--- a/README.md
+++ b/README.md
@@ -69,6 +69,7 @@
 
 ### Running pyfakefs unit tests
 
+#### On the command line
 pyfakefs unit tests can be run using `unittest` or `pytest`:
 
 ```bash
@@ -87,6 +88,19 @@
 $ tox
 ```
 
+#### In a Docker container
+
+The `Dockerfile` at the top of the repository will run the tests on the latest
+Ubuntu version.  Build the container:
+```bash
+cd pyfakefs/
+docker build -t pyfakefs .
+```
+Run the unit tests in the container:
+```bash
+docker run -t pyfakefs
+```
+
 ### Contributing to pyfakefs
 
 We always welcome contributions to the library. Check out the [Contributing