Stellar light, particularly at shorter wavelengths, is absorbed by dust and re-emitted as far-infrared light from the dust. Dust in galaxies also influences star formation activity through molecular formation and ISM cooling. Dust is therefore one of the most crucial factors in the evolution of galaxies. Since dust is a tiny solid particle composed of heavy elements, it should have evolved along with the evolution of galaxies. Thus, it is rather evident that dust evolution should be considered within the framework of chemical evolution. We develop a model of dust evolution based on classical chemical evolution. The multiphase ISM components must be included to account for the growth, destruction, and redistribution of the grain size of dust. As a result, the model inevitably deviates from a one-zone approach. We model these interstellar processes and establish a theoretical framework for dust evolution in galaxies.