Turnitin can be used in lieu of the regular assignment tool in Moodle. Because of it's easy-to-use grading workflow, Turnitin can be used for more than just plagiarism detection. Go to the Turnitin Assignments section to learn more.
Click to view instructor resources from Turnitin.com (white papers, web casts, etc).
Using Turnitin Assignments (video recorded on older version of Moodle, however process still applies)
You can create dropboxes (assignments) in Ensemble and add those dropboxes (easily) via the External Tool activity in Moodle. Those quizzes can be automatically scored as well! Go to the Create Ensemble Assignment page to learn more.