There remains a "danger to life" in parts of South Yorkshire after some areas had a month's rainfall in 24 hours.
Seven severe flood warnings are in place – all of them on the River Don, in and around Doncaster.
There are also 66 flood warnings, covering rivers including the Trent, the Dearne, the Derwent, the Ryton and the Soar.
A yellow weather warning for rain covers Northern Ireland until 8pm on Saturday.
Another one in England, running from Oxford down to Brighton and Portsmouth, begins at 11am on Saturday and continues for the rest of the day.
But the areas affected by torrential rain in the last day or two – South Yorkshire and the Midlands – should avoid further downfalls on Saturday.
Boris Johnson has said the flooding does not amount to a "national emergency" – as Labour leader Jeremy Corbyn called for an inquiry.
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The prime minister visited the flood-hit town of Matlock in Derbyshire on Friday – close to where a woman died in a swollen river.
He thanked members of the emergency services and said the government had allocated £2.6bn for a "huge programme of flood defences and flood preparation".
Mr Corbyn called for an inquiry into how the UK's flood defences could be improved.
"My thoughts are with the family of the woman who has died after being swept away by floodwater in Derbyshire," he wrote on Twitter.
"There needs to be an inquiry into these floods and what more should be done to protect communities from the growing risks of flooding."
Sheffield City Council declared a major incident after the Don burst its banks in some areas.
Off licence owner Farooq Sabir said his business was "knee-high in water" and "trying to salvage anything was just impossible".