"Who do these children stay with?"
with an "auntie", who might or might not be related, and might or might not have half a dozen other "neices", who might or might not be paid, and might or might not honour her side of the bargain.
alone in the council housing allocated to their parents ( I've known 11 year olds do this)
On the floor/ setteee of a relay of friends/ aquaintances
With a "guardian", as a servant
In the woods
In the stairwell
In a hostel for the homeless
Mostly with the "sister" or "cousin" in the family who this happened to last, who might be say 4-8 years older, and absent most days and nights, and so effectively entirely alone.
In a year or two, many of them will be "auntie to someone elses abandoned children
I had a parents evening last week. I had a "hit list" of the 10 most troublesome students, whose parents I really wanted to get hold of. Not one had a parent in this country. I get "My Mum is travelling" "When is she back?" I ask The answer is a shrug, possible the vague mention of a month in the nearish future, June? July?, most likely not true. One boy told me very indignantly that he saw his mother regularly, VERY Regularly -every 5 years without fail! ( he was 16, off the rails, and no one cared)
This children are abandoned here in the expectation that we will educate them well enough for them to earn fmoney or their families.