This is a quick introduction to using branches on Github.
When you go to save your work, you will be given the opportunity to save it to a branch.
At the next screen you are given the option to open a pull request. You don't need to do that right away. You can come back to it when you've made some more changes on the branch.
First, you need to find the branch to make changes. It's available from a dropdown on the repository's main screen.
See images below for an illustration of these points.