There were more than 30 flood warnings in place for Nottinghamshire, though none were near Sutton-in-Ashfield where Prime Minister Boris Johnson visited on his election campaign trail on Friday.
The River Don, which flows through Sheffield, Rotherham and Doncaster, hit its highest recorded level at just over 6.3m (21ft), higher than it was in 2007 when it also flooded.
"Residents in these areas are advised to evacuate immediately", said the Doncaster Council.
Emergency service workers in Derbyshire county, south of Sheffield, recovered a body near the River Derwent after reports of a woman being swept away by floodwater.
Parts of northern England have been hit with a month's worth of rain in 24 hours, triggering the United Kingdom's Environment Agency to issue more than 70 flood warnings, including six severe "danger to life" warnings.
Toll Bar Post Office worker Kathleen Overton, 61, told the PA news agency: "It was nearly biblical, I would say".
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As of Friday afternoon, the agency claimed 73 flood warnings ended up in put, as effectively as 6 significant "hazard to lifetime" warnings around the River Don.
Richmondshire firefighters have been posted to South Yorkshire to help with the flooding relief effort.
The average monthly rainfall total for Yorkshire at this time of year is 89mm.
South Yorkshire Police said they were working to move "a number of people" who were stranded in the Parkgate Shopping Park in Rotherham to "a place of safety".
But he added: "I think the most important thing is that the areas which have been affected by floods should avoid rain and get some respite".
During the visit, Mr Johnson said the widespread flooding across the United Kingdom "is not looking like something we need to escalate to the level of a national emergency".