Divination (占い) is the ability to see events far away in time and space, usually through Crystal Balls. Fortuneteller Baba and Old Kai (being the fusion of an Old Witch and a Supreme Kai) are known to use this power, with the former using it for money.
In the anime, the Water Jug Monster that lived inside the water jugs on Korin Tower possessed the ability to project the past, present, and future through water jugs.
Baba uses this ability several times in the series, mainly to help Goku when he happens to be in great need. She used this to help him find a sealed Dragon Ball, and later to find the lost Bansho Fan. Baba correctly predicted that Goku would save the world one day. She also used her art to project the Z Fighters' fight against the Saiyans, as well as Gohan's fight against Cell; while Baba's Crystal Ball shattered by the sheer amount of ki used in the former, the same did not happen in the latter saga, though it is reasonable to think that Baba simply acquired a stronger ball after the Saiyan conflict.
The Kanassan Toolo also uses this art, which he passes to Bardock via a secret Kanassan technique as a form of retribution for the misdeeds of Bardock and the Saiyans in general. Bardock would have visions of his planet's destruction in between time, with no control over this power.
The Oracle Fish is a fish which has prophetic powers. It appears in the movie Dragon Ball Z: Battle of Gods: 39 years ago, the Oracle Fish told the God of Destruction Beerus that a strong opponent would appear before him and during the events of the film, it helps Beerus to find Goku, the one who defeated Frieza.
In Dragon Ball: Xenoverse, Bardock's ability to see the future is mentioned in the Legendary Super Saiyan Saga by Future Trunks who explains that it is due to this ability that Bardock is aware that Dark Broly must not be allowed to interfere with Super Saiyan Goku epic battle with Frieza on Dying Planet Namek. Bardock explains he is fully aware that his son Kakarrot will be the one to defeat Frieza and avenge the Saiyan race. It is also the reason he is aware that Prince Vegeta can preform the Power Ball technique, knowledge which he puts to good use when he encounters Vegeta on Earth while the Future Warrior is fighting Dark Broly.
In the Resurrection ‘F’ Pack DLC, Elder Kai (as the Future Warrior's current Master) will occasionally use his ability to tell the Warrior's fortune. The Warrior's chances of obtaining items & skills in Parallel Quest may increase depending on the vision he receives. If his vision is of a tree baring a Golden Fruit, then the item & skill drop rate greatly increased for the next Parallel Quest.