Divine knowledge is the Gita's term for understanding that goes beyond information: knowing who we are, what is lasting and how to act in harmony with it. It is not only academic. It changes how we feel, choose and relate to others. Many traditions agree that such knowledge is rare and needs more than reading, so it asks for humility, practice and time.
Chapter 4 praises knowledge at length. Gita 4.38 calls it the highest purifier that ripens in a mature practitioner of yoga, and Gita 4.37 compares it to a fire that reduces the effects of karma to ashes. Gita 4.36 says that no one is beyond redemption when genuine knowledge awakens, even the greatest wrongdoer. Gita 5.16 says that knowledge removes ignorance and reveals the Supreme Reality, just as sunlight dispels darkness.
The Gita also names what supports it and what blocks it. Gita 4.39 says faith, sincere effort and mastery of the senses lead to knowledge and lasting peace, and Gita 4.40 warns that persistent doubt joined with ignorance and lack of faith obstructs peace. Gita 4.42 asks us to cut doubt with knowledge and then rise to act. Gita 4.10 links freedom from attachment, fear and anger with purification of the heart. Combine study, practice and honest questions.