I still recommend that you cut all of the leaves from the broken bit (so that it doesn't die by losing all of the moisture from inside the stem through transipration through the leaves) and then plant it in a 50/50 mixture of grit and compost. I've just gone outside to take a photo of what will happen:
That is about 18 months after I broke a piece of of my yucca.
A trowel in the hand is worth a thousand lost under a bush.
Bucket of water won't kill it if the bucket is placed somewhere sunny and warm. I propagate yuccas like this all the time and have an almost 100% success rate. Then again I am in South Africa so maybe the warmer temps help. I've got a bucket full of rooted yucca stems that have been sat in a bucket of water for the last year as I still haven't got around to potting them on or planting them out into the garden. Each of them has a mass of roots attached to it.
Well I'm in Lincolnshire so I think I will take bob the gardeners advice it's not so sunny here and I want to do the best I can for it these are some of my others I'm a beginner at gardening and there the only plants that have survived the last 28 years with me last year
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Thank you everyone for all your help and advice
not sure how I would get on without this forum 
A bucket of water will kill it
Watch here
http://m.youtube.com/watch?v=EIJHtYJF4lE
Oh no what would you suggest I do wintersong any advice would be great
Watch the YouTube video, he puts it straight in a pot
I can't make a link, but copy /paste the address
I still recommend that you cut all of the leaves from the broken bit (so that it doesn't die by losing all of the moisture from inside the stem through transipration through the leaves) and then plant it in a 50/50 mixture of grit and compost. I've just gone outside to take a photo of what will happen:
That is about 18 months after I broke a piece of of my yucca.
Bucket of water won't kill it if the bucket is placed somewhere sunny and warm. I propagate yuccas like this all the time and have an almost 100% success rate. Then again I am in South Africa so maybe the warmer temps help. I've got a bucket full of rooted yucca stems that have been sat in a bucket of water for the last year as I still haven't got around to potting them on or planting them out into the garden. Each of them has a mass of roots attached to it.
Forgive me Hippophae, I am no expert except that I naturally fear buckets of water in UK because it seems to lead to bad smells and general rotting
I think from your advice, Bob, fidget and the YouTube guy, the point is these are easy to propagate
Well I'm in Lincolnshire so I think I will take bob the gardeners advice it's not so sunny here and I want to do the best I can for it these are some of my others I'm a beginner at gardening and there the only plants that have survived the last 28 years with me last year