Unfortunately Ubisoft has pushed back the beta for Tom Clancy's The Division and it will no longer be available till some point next year. The exact date for the pushed back beta hasn't been chosen yet but Ubisoft has mentioned that it should be available in "early 2016."
Luckily there is still an option for anybody hoping to try out or at least view some early live gameplay footage for The Division. Despite the beta being pushed back, the invite alpha stage on the Xbox One will still be taking place. The alpha for The Division is set to happen from December 9 until December 12. Sign ups are available for the alpha stage and you'll be placed on a priority list if you pre-order The Division for Xbox One but even then there is no guarantee you'll be given access.
Instead, Ubisoft will be adding players into the alpha on an "as needed" basis. The beta, which will now be taking next year, won't have such strange availability as the alpha does. If you have pre-ordered The Division you will be given guaranteed beta access.
If you do manage to get into the alpha this week you'll be required to install the 23.2GB alpha client. There doesn't seem to be a pre-load period so if you're on a limited speed internet connection you may struggle to get the download complete on the first day.
There will be an NDA for this upcoming alpha this week so that means players aren't allowed to share gameplay content or stream The Division live. We'd be surprised if footage doesn't manage to slip through the cracks though.