The interactive process of sharing can be represented by the arithmetic operation commonly called division. It involves the separation of an object into two or more parts. When subjected to quantitative and qualitative analysis under a condition of equity distribution, the process of sharing does indeed result in an outcome that is not only realistic but also natural to understand. Unfortunately, the contemporary quasi-analytic approach to division yields disreputable and tainted groundwork arithmetical bugs which invariably trigger when stirred up by cut-off point situations such as division by zero. Hitherto, such mathematical challenges have been abruptly avoided by helplessly representing them as infinity, indeterminate or undefined. However, in light of the natural and realistic analysis provided in this book, The Obelus Set Theory of Equity Distribution, such underpinning conundrums in mathematics are very well understood. Consequently, the ruins of the foundation of the world of mathematics become even more rewarding! Some of the significant outcomes of the mathematical sedimentation encapsulated by the new concepts provided in this book are: ● Distribution Density ● Set Resonance Equilibrium ● Law of Equity Distribution ● Mapping Statistics ● Non-Distributive Numbers ● Continuum Hypothesis ● Distributive Numbers ● Point Continuum ● Abstract Field Axioms ● Analysis of Pi ● Redistribution ● Hypo-Hyper Distributions ● Set Surrogation ● Universal Linear Distributions ● Propensity ● Marginal Distribution ● Unit Donor Principle ● Distribution Channels Analysis ● Set Resonance ● P Class versus NP Class It is generally hoped that these essential basic ramifications would lead to other important macrosolutions in the future.