diff --git a/.github/workflows/c-cpp.yml b/.github/workflows/c-cpp.yml
index 8df9cd7..f6a63d9 100644
--- a/.github/workflows/c-cpp.yml
+++ b/.github/workflows/c-cpp.yml
@@ -66,15 +66,6 @@ jobs:
     needs: test
     container: ghcr.io/gravity-sim/deps:latest
     steps:
-    - uses: actions/checkout@v4
-    - name: Install dependencies
-      run: |
-        sudo apt-get update
-        sudo apt-get install -y build-essential libgl1-mesa-dev libglew-dev libglfw3-dev libopenmpi-dev
-    - name: Build
-      run: make
-    - name: Test
-      run: make test
       - uses: actions/checkout@v4
       - name: Restore build cache
         uses: actions/cache@v3
diff --git a/README.md b/README.md
index 5370b9c..8fad535 100644
--- a/README.md
+++ b/README.md
@@ -83,6 +83,9 @@ four sequential jobs: **Installing Dependencies**, **Build**, **Test**, and
 **Make**. Compiled object files are cached between jobs to speed up subsequent
 steps.
 
+The `docker-publish` workflow builds this container image and pushes it to the
+GitHub Container Registry so it can be reused by the CI jobs.
+
 ## Usage
 
 To run the simulation: