Process mining started to be a very useful tool how to check processes in companies. The only thing that has to be done is to have at least some log about the activities performed by the software system. There are many methods that can be used then to analyze this data obtained from the log. Every usage of yet not used or rarely used method opens up new perspectives in process mining and reveals the unknown potential of its application to the practice. In this paper we have applied sequence alignment methods to the real process example and examined what results and benefits could be obtained from such usage. The main purpose of this paper is to adjust methods for sequence alignment to be able to determine similarity between the business processes.