THe quantum explanation is currently the best explanation, and for that you would need to read Feynman's "QED" (it's a thin book that takes a long time to read). BUt before reading this book, you need a full-year of introduction to physics, including basic vectors (vector arrows are used when analyzing photons, but they are called "amplitudes" which actually means "probability.")
The best thing about Feynman's QED is that the same explanation also explains refraction, reflection and interference. This is the kind of simplification that Physics is all about.
In an undeniably insufficient explanation:
Photons will take a certain path that will require the least amount of time to reach a point at which there is a greater-than-zero probability of existing there. Due to the nature of all the possible paths for the photon, there will be points of higher and lower probability (that the photon will be there) Bright diffraction "fringes" indicate zones of high probability and dark "fringes" indicate regions of near zero probability.
IF you want the old explanation of "why diffraction of light" then you must follow the wave model. Do a google search for "Huygens' Principle." It's not easy either, and it's also incorrect for light (according to our current, most accepted explanation).