Vue.js developers using Nuxt.js can leverage DevOps practices such as continuous integration and continuous deployment to enhance their software development process by deploying their applications on GitHub Pages through CircleCI. The article provides a step-by-step guide, beginning with creating a Nuxt.js project and connecting it to a GitHub repository, followed by setting up Jest for testing. Developers are instructed to configure the build script using the `nuxt generate` command and set the appropriate router base for deployment to GitHub Pages. The CircleCI deployment script involves installing necessary packages, running tests, building the project, and deploying it using the `gh-pages` package, which facilitates pushing files to a special branch for GitHub Pages deployment. The guide also covers setting up authentication to GitHub using SSH keys to ensure a secure connection for deployment. By following this process, developers can automate the deployment of their server-side rendered applications, ensuring a seamless and efficient workflow.