It is intended that the digital technologies and enterprise information systems are aligned with underlying business and manufacturing processes to perform at the highest levels in companies. The focus of the paper is on operational processes running in companies from different perspectives based on state-of-the-art of Industry 4.0 concept. It discusses the potential of process mining techniques for Industry 4.0. The core of the paper demonstrates how can process mining method enhance elements of Industry 4.0 concept through case study from financial sector with the emphasis given on efficiency and monitoring of a loan process. The research shows that management of business and manufacturing processes is very important due to the properties of processes of Industry 4.0 concept like, e.g., self-organisation, autonomy, decentralisation, that is seriously challenging to manage. The introduced methodology could help companies to diagnose issues in their operational processes and thus brings a completive advantage when implemented.