Reporting will help you know whether users are making their way through your course overall, and who specifically has completed (or needs to complete) the course. You can even see at which step in the course users left off.
View overall course progress
This gives you a quick overall view of the progress of users that have been assigned or have self-enrolled in the course (if not restricted).
View overall step progress
Click a specific course title to view how many users have completed the course and individual course step progress.
View individual user progress
See which users have yet to start the course and which completed it (or what part of the course users dropped off, if incomplete).
Vicki Erskine
How can I see which individual users have completed which individual steps on a course if there are multiple users working on a course at the same time?
Amie Barder
@Vicki: After clicking into the Course title, you can click on the Enrolled Users tab to see individual progress. Clicking on a user's name from that list will display their progress in all of their Courses.