This paper focuses on Tongzhi Sixth Year Distillery Algorithm Example Studies and conducts an in - depth analysis from the dual perspectives of economic history and the history of mathematics using the literature research method. This document details the calculation methods for distillery operations during the Tongzhi period, including algorithms such as the millet method, the proportional distribution method, the mixed - solution calculation method, and indeterminate equations for wine solution concentration, as well as other commercial mathematical models such as the high - and - low - grade tea method, the principal - and - interest establishment method, and the miscellaneous - use tea method. These algorithms and models reflect the actual needs of distillery operations at that time and the extensive application of mathematics in commercial activities. In terms of economic history, they embody the production technology, management level, cost - profit control strategies of distilleries, and the economic connections between distilleries and other industries, providing important evidence for studying the local economic structure and commercial operation models in the late Qing Dynasty. In terms of the history of mathematics, they demonstrate the development level of commercial mathematics in the late Qing Dynasty, embody the inheritance and innovation of ancient classic mathematics, and reflect the characteristics and evolution process of mathematical applications in that era. This research reveals the business wisdom and mathematical application level of distilleries during the Tongzhi period, providing a unique perspective and valuable materials for research in related fields.