The term "Dalek Scientific Division" appears to only be used in two stories. Most of this page's info belongs on a separate "Dalek Scientist" page.
The Chief Scientist reported to the Black Dalek that the TARDIS had been located. (PROSE: The Chase) After his "perfection" was called into question, a group of Dalek Scientists, headed by the Chief Scientist, were tasked by the Golden Emperor with taking him apart and rebuilding him with an increased brain capacity. After identifying the minor flaws in the Emperor's casing, the Scientists decided to rebuilt it completely, creating a much larger casing in Skaro's Great Hall with an enlarged, artificial organic brain to supplement the mutant, rather than a mere computer brain. The Chief Scientist, wearing a "special protective Dalekoat", was the one to finish plugging some cables connecting the casing to the wall. (COMIC: The Secret of the Emperor)
In 2540, a scientific group of no more than twelve grey Daleks, led by a Dalek Section Leader, attempted to learn the technique of invisibility from the natives of Spiridon, operating from a laboratory. (TV: Planet of the Daleks)
During the Second Great Dalek Occupation, the Scientific Division oversaw the reoccupation of Spiridon, now known as Zaleria. They intended to finish the invisibility experiments and recover the buried army. Susan Mendes and Kalendorf, on a visit to inspire the slaves as part of Susan’s work as “the Angel of Mercy”, noticed the Division’s occupation was more brutal than the norm, including the deployment of Ogrons to brutally police the population. Kalendorf began working with local rebels and the Seventh Doctor to destroy the frozen army, however the scientists realised his absence and tortured the truth from Suz, despite standing orders from the Supreme for her protection. The Daleks surrounded Kalendorf and threatened to kill him unless the Doctor backed down from destroying the army with heat rays. The Doctor complied, knowing Kalendorf‘s importance to history, and agreed to work with the Daleks on invisibility. After years of servitude to the Scientific Division, the Doctor overheard reports of a rebellion on Yaldos and, realising history was playing out correctly, released a virus that infected all the Daleks on Spiridon with fatal light wave sickness. (AUDIO: Return of the Daleks)