Remote voting via the Internet provides significant advantages for voters in terms of convenience, mobility, and time savings, but a constraint on its implementation is the distrust of voters due to uncertainty in keeping secrets and fairness in the counting of voting results. It is clear that the staff that manages the counting server has ample opportunities for abuse. Therefore, in order to increase the level of citizens' confidence in the remote voting system, the challenge is to develop control methods that would provide unconditional confidence in the absence of malicious or erroneous actions of personnel in managing the Internet voting system. This article proposes methods that allow any Internet user to control the actions of personnel managing a vote counting server, as well as to identify abnormal penetrations to this server during its operation. Thanks to the introduction of these methods, the absence of abnormal actions to manage the voting system can be proved, which allows to eliminate the grounds for distrust of the service personnel, as well as violations of the normal operation of the system can be detected and documented for further detailed analysis of the causes and consequences of these violations. The methods of control of Internet voting system offered in this article are based on the implementation of simple and accessible to the wide circle of Internet users of the procedures, which provides an opportunity to eliminate the grounds for distrust by voters due to lack of knowledge in the field of IT.