In a process for the heat-treatment of fine-grained material which is preheated by hot gases in a multistage preheater, subsequently deacidified to a large extent by the combustion of additional fuel in a precalcination zone, and calcined in a revolving tubular kiln, and wherein the supply of fuel to the precalcination zone automatically is regulated in normal operation in dependence upon the gas temperature of the preheater in such a way that, in the event of a reduction in said gas temperature, the supply of fuel is increased and vice versa, the improvement comprising measuring the temperature of the material as it leaves the precalcination zone, simultaneously measuring the temperature of the gases leaving the precalcination zone, measuring the difference between the material temperature and the gas temperature, and switching the regulation of the supply of fuel to said precalcination zone from automatic to manual in response to a predetermined maximum or minimum value of said temperature difference.