From the Latin "dividere" (to divide):
* Divide: To separate into parts.
* Division: The act of dividing or the result of dividing.
* Divisible: Capable of being divided.
* Divisor: The number by which another number is divided.
* Dividend: The number that is being divided.
* Diverge: To move in different directions.
* Diverse: Different; varied.
* Diversity: The state of being diverse.
* Divest: To deprive someone of something.
From the Latin "divinus" (divine):
* Divine: Relating to a god or gods.
* Divinity: The state or quality of being divine.
* Divination: The practice of seeking knowledge of the future or the unknown by supernatural means.
* Diviner: A person who practices divination.
* Indivisible: Not capable of being divided.
Other words:
* Individual: A single person or thing.
* Divide: A geographical feature that separates two areas.
* Divan: A type of couch.
* Dividend: A share of profits distributed to shareholders.
This is not an exhaustive list, but it gives you a good idea of the range of words that incorporate the root "div".