The increasing global demandDemand for lithiumLithium-ion batteriesBattery, driven by the rise of portable devices and electric vehiclesElectric Vehicles (EVs), has prompted a surge in the need for efficient battery recyclingBattery recycling processes. However, the rising demandDemand for raw materials such as nickelNickel, cobaltCobalt, and lithiumLithium highlights the importance of improving recyclingRecycling processes. Among various recyclingRecycling techniques, hydrometallurgical processesHydrometallurgical processes, particularly solvent extractionSolvent Extraction (SX), are vital for producing high-purity products. These processes, though effective, are energy-intensive, costly, and reliant on empirical methods. To enhance process efficiency in terms of productivity and quality reliability, this study investigates the use of numerical analysisNumerical analysis and system developmentDevelopment. By developing an in-house code, the study aims to optimize the solvent extractionSolvent Extraction (SX) process by predicting the number of stages, flow rates, and mixer volume, and calculating the concentration per stage. This approach provides crucial insights into process design and material balance for each stage, contributing to a more efficient and cost-effective battery recyclingBattery recycling process.