The predominant way prokaryote cells divide is binary fission, also referred to as asexual reproduction. It differs from eukarotic cells in several ways; find out how here.

A protozoan undergoes "binary fission" - with some help!
A protozoan undergoes "binary fission" - with some help!, by Ron Neumeyer, Microscopy UK, "These images, captured from video using a Snappy video grabber, illustrate the final stages of protozoan
Asexual Reproduction
Asexual Reproduction, Brightstorm Science Videos, Video length: 04:14.
Bacteria
Bacteria Posted by paowluki December 14, 2007 YouTube.com Video Length: 0:41.
Bacteria Cam: Growth of Streptococcus pneumoniae
Bacteria Cam: Growth of Streptococcus pneumoniae Cells Alive This 6 hour series begins 4 times per day: midnight, 6AM, noon, and 6PM. A new image is loaded every minute.
Bacteria Divide and Multiply
Bacteria Divide and Multiply, By James A. Sullivan, CellsAlive.com, Amazing animation!!
Bacteria divide like clockwork
Bacteria divide like clockwork, Anne Trafton, MIT News Office, March 9, 2010, "MIT researchers show how circadian rhythms in bacteria control their rate of reproduction."
Bacteria Growth
Bacteria Growth, Posted by dizzo85, YouTube.com, Very, very brief 0:16 seconds, but good!
Bacterial asexual reproduction (binary fission)
Bacterial asexual reproduction (binary fission), August 25, 2008, GeneEd Video, Brief, but good. Video length: 0:41.
Bacterial Reproduction
Bacterial Reproduction, By Regina Bailey, ThoughtCo., All-text page.
binary fission
binary fission, By David Darling, All-text page on asexual reproduction utilized by most bacteria.
Binary fission
Binary fission Wikipedia.org Brief page with animation, illustrations and text explaining binary fission.
Binary Fission and Other Forms of Reproduction in Bacteria
Binary Fission and Other Forms of Reproduction in Bacteria, Cornell University, Department of Microbiology, A combination of text and illustrations.
Binary Fission Steps
Binary Fission Steps, By Ningthoujam Sandhyarani, Published: 5/31/2010, Buzzle.com, Text and a large illustration explaining binary fission.
Binary Fission: Cell Division & Reproduction of Prokaryotes
Binary Fission: Cell Division & Reproduction of Prokaryotes, Apr 8, 2011, By Tami Port, Science Prof Online, "Prokaryotic cells reproduce by binary fission; a process in which the genetic materi
Prokaryotic Cell Parts, Functions & Diagrams
Prokaryotic Cell Parts, Functions & Diagrams, By Tami Port, Science Prof Online, Combination of text and illustrations.
Prokaryotic Cell Sample Test Questions - Part 1
Prokaryotic Cell Sample Test Questions - Part 1, Mar 27, 2011, By Tami Port, Science Prof Online, ​"The following questions, from the Virtual Microbiology Classroom, are designed to help student
The Incredible Science of Bacteria Cell Reproduction
The Incredible Science of Bacteria Cell Reproduction, Written by Orco, Scribol Staff, Article includes illustrations and a photo.
Understanding Cell Division in a Bacterial Cell
Understanding Cell Division in a Bacterial Cell, Article by Sushma, July 29, 2010, BrightHub.com, Text and one small illustration.