Flooding from Storm Babet could last for days, the Environment Agency has warned, after the UK was lashed with rain and wind over the weekend.
Across England 108 flood warnings are in place – including in the East Midlands and along the River Severn.
Four people are known to have died in the floods, while residents of hundreds of homes have been evacuated.
On Monday, Scottish First Minister Humza Yousaf visited Brechin, in Angus, one of the worst hit areas.
Some Brechin residents could be permanently removed from their homes due to the flooding, a local councillor has said.
Elsewhere, Nottinghamshire County Council declared a major incident over high water levels along the River Idle.
The agency said more flooding due to heavy rain was possible until Wednesday for parts of England – including around the River Severn – and the body said it expected to have to issue more warnings.
So far, around 1,250 properties in England have been flooded, the agency said.
But, the agency said parts of Yorkshire and the Humber and the East Midlands may see more flooding on Monday.
Katharine Smith, flood duty manager at the Environment Agency, said teams were on the ground helping local communities in England.
“Temporary defences, including pumps and barriers, have been deployed to minimise the impact of flooding where needed,” she said.
“Flood gates have also been closed in affected areas. We also advise people to stay away from swollen rivers and urge people not to drive through flood water as just 30cm of flowing water is enough to move your car.”
BBC Weather’s Simon King said that while Storm Babet was long gone “the exceptional rain it brought” continues to cause problems, including flooding and high river levels.
“With the week ahead remaining rather unsettled, there’ll be further rain at times,” he said, adding that the risk of flooding remains high in parts of Nottinghamshire, Derbyshire and Lincolnshire.
The Met Office has issued a yellow weather warning for heavy rain on Tuesday, which could lead to further flooding in the East Midlands, as well as much of Yorkshire and Humberside – it is in place between 03:00 and 16:00.
Five severe flood warnings were lifted on Sunday evening – two were for the River Idle in the East Midlands and three were for the River Derwent in Derby.
Derby City Council said the River Derwent saw record-breaking water levels over the weekend.
Areas along the River Severn, Britain’s longest river, will be affected in the coming days. The Environment Agency has also warned widespread flooding is probable in parts of the Midlands and the North of England.
Dozens of homes were evacuated near the River Idle in Retford, Nottinghamshire with a rest centre set up at a leisure centre, while major roads were also closed.
A resident in Thrumpton, near Nottingham, said she was “anxious” about the damage that could be caused to her property.
“The street is an absolute flood zone – it’s like a lake,” Jodi Savastio told BBC Radio Nottingham.
While those who have been worst affected by Storm Babet could see a “couple of quieter days”, Met Office spokesman Dave Britton said “there is this pulse of rain moving its way north overnight later on Monday and into Tuesday, but the rest of the week does look like it remains rather unsettled with spells of rain at times”.
Meanwhile, a woman in her 80s, named by her son as Maureen Gilbert, has died in Chesterfield after her home was flooded.
Three other people are confirmed to have died since Storm Babet hit on Thursday – a man in his 60s in Shropshire and two people in Scotland including 57-year-old Wendy Taylor who was swept away by river water.
On his visit to Brechin, where dozens of homes were flooded when the River South Esk burst its banks, Mr Yousaf described the flooding as “unprecedented” with more than a month’s worth of rainfall over the weekend.
He said discussions would continue with the local authority over the coming “days, weeks and months” about what support the government could provide, potentially including money for flood defence improvements.
“I’m hoping my being here so quickly after that terrible weather event is a demonstration the government at the highest level will be involved in discussions with Angus Council to help as much as we possibly can,” the first minister said.
Conservative councillor Gavin Nicol, who represents Brechin on the Angus Council, called for more funding from the Scottish government, saying the impacts of the floods will be felt for “months and years”.
He said the finances were needed to protect and rehome residents.
“Some will be out for months, if not permanently,” he said.
Experts say climate change makes extreme flooding events more likely because a warming atmosphere increases the chance of intense rainfall.
However, many factors contribute to flooding and it takes time for scientists to calculate how much impact climate change has had on particular weather events – if any.
The world has already warmed by about 1.1C since the industrial era began and temperatures will keep rising unless governments around the world make steep cuts to emissions.