This thesis deals with the algorithm of division with a remainder in connection with the development of cognitive abilities of Czech pupils. Due to the usual inclusion of this thematic unit (division with a remainder) in the third year of primary school, theoretically focused chapters dedicated to human ontogenesis, with regard to the child's cognitive development and educational system in the Czech Republic, are incorporated. From the thematic perspective, the work analyzes selected comprehensive series of textbooks for first grade of primary school, differentiating the exercises from propaedeutic through an introduction and application to non-standard tasks. Thesis examines the commonalities and differences in the concept of the analyzed textbooks by various authors. One of the criteria is the evaluation of approach to teaching based on identifying elements of constructivism or transmission. Another objective of the work is a research of selected problem-solving strategies of students dealing with tasks comprising division with a remainder. Solution methods were obtained by assigning of diagnostic test to pupils of a first grade of primary school. KEYWORDS division with a remainder, a primary school aged child, cognitive development of a child, teaching styles - transmission, constructivism,...