For the DEMO-FNS tokamak being developed in Russia, the choice of the divertor concept with evaporating liquid lithium is discussed, which meets the requirements for removing the heat load from the peripheral plasma and provides an acceptable level of change in the ionic composition of the core plasma. The paper presents the results of numerical modeling and optimization of divertor parameters with several chambers partitioned by slotted nozzles. The parameters of lithium fluxes flowing into the peripheral layer are estimated for the temperature range of the divertor chambers from 500 to 1000 K under gas-kinetic and molecular flow regimes of lithium vapor from the divertor. The fulfilled analysis of processes that reduce the outflow of lithium from the chambers and its penetration into the core plasma volume inside the separatrix showed that sectioning effectively reduces the Li fluxes to acceptable levels of ~ 1020 atoms per second.