The article monitors and evaluates the independent work of distance learning students based on eutagogy. Eutagogy theory is defined as a creative approach to self-learning that allows the learner to determine what, when and how to learn. In order to control and evaluate the time and quality of independent work of students on the basis of a digital trace in distance learning, a set of criteria and indicators based on eutagogy has been defined, quantitative indicators have been selected, and a methodology has been proposed to assess the progress of each student. The article presents algorithms for assessing the success of independence based on empirical data and learning analytics. The proposed algorithms make it possible to interpret digital traces of independent work in distance learning, evaluate its success and improve the quality of education by correcting the student's learning path.