Hi,
Excellent information Doug.


Without the pictures I could only guess as to what had actually detached from the quill. The pictures though clarify what has happened. The chuck body has detached from its arbor leaving just the short taper shown in #2 still located in the quill. This is unusual because in over 50 years this has never happened to me; it's always been the long taper with the tang that has detached from the quill together with the chuck body but no problem at all to fix following Doug's information regarding cleaning and refitting.
Above is a link to a YouTube video which explains and shows in more detail the removal of such a chuck; the only thing I disagree with on the video is using a length of timber and hammer to strike the chuck at an angle to remove it; if the chuck is very tight then there is possible risk of damage also as in this case the chuck body alone might be removed leaving the arbor still inside the quill; I only use a proper "drift" in the slot provided; if there isn't a slot then a fork type wedges should be used.
https://www.instructables.com/id/Wedges-for-Drill-Chuck-Removal/
I've only ever used drifts to remove these chucks with no damage to the arbor or drill press;
https://www.mscdirect.com/product/details/97032726
A drift is very easy and quick to make compared to a pair of wedges although drifts are cheap enough to buy.
I often remove the chuck because my drill press is a floor standing industrial heavy duty type fitted with a back gear to bring the rev down to around 60rpm; I have dozens of these drill bits which insert into the quill; the smaller sizes need correct morse taper sleeves;
https://sheffieldtooling.co.uk/prod...uemk_roDk1UaFfR9cig1ESQLFP3fg_6gaApcBEALw_wcB
I also use these drill bits in my lathes; for small diameter holes I usually use standard parallel drill bits mounted in a Jacobs chuck.
Here are the sleeves;
https://www.amazon.co.uk/Proops-Morse-Taper-Sleeves-Postage/dp/B00LVWCXQA
I'd like to add to Dougs information regarding cleanliness; over the years chucks and drill bits tend to gather a few nicks and dents on their mounting surface; these need removing very carefully with a fine engineers file otherwise seating will seriously be impaired. Just for interest these dents can actually be used to advantage; many times I've encountered a shaft where the bearing mounting has been slightly loose so I've used a knurling tool to add a shallow diamond pattern; this takes practice and skill because knurling too deeply will prevent the bearing going on. My knurling tools are the swivel type but here is the scissor type which is gentler especially on a small low powered lathe;
I'm sure Doug and I could go on forever regarding workshop practices but hopefully you'll now understand why your chuck detached and be able to reattach it costing nothing.
Kind regards, Colin.