Some residents in a flood-stricken village could be out of their homes for up to three weeks as efforts continue to make the area safe.
Fishlake near Doncaster has been one of the worst hit with hundreds of people being forced to leave their properties.
About 100 Army personnel are being deployed to support the recovery effort in South Yorkshire.
Doncaster Council said every effort was being made to increase pumping so people could return home sooner.
More widespread rain is forecast, with warnings in place for large parts of the country on Wednesday and Thursday.
On Tuesday, the prime minister announced more support for communities affected by flooding following a meeting of the government’s emergency Cobra committee.
It came amid criticism from Labour and the Liberal Democrats who said he should declare a “national emergency”.
Boris Johnson said authorities were working “flat out” and a request had been made for “a little bit more help” from the military in getting sandbags and other defences to some of the areas affected.
Jon Trickett, shadow minister for the Cabinet Office and Labour MP for Hemsworth in West Yorkshire, said Mr Johnson’s proposals were “too little too late”.
He said: “You can’t trust Boris Johnson to look out for the North or the Midlands or protect our communities from flooding.”
About 500 homes have been flooded in Doncaster with more than 1,000 properties evacuated in areas hit by the floods.
Hundreds of people in Fishlake have fled their homes after the village was submerged and the fire service has been working to rescue people.
The council said the village was not safe and that “a return to properties is discouraged in the strongest possible terms”.
Roads into Fishlake remain closed and the Environment Agency said people should not attempt to enter the area.
The council said the Environment Agency, along with emergency services, were working hard to recover the area for a safe return but “the latest estimates suggest a safe return could be up to three weeks away for some residents”.
Scott Godfrey, landlord of the Hare and Hounds, has been using the pub as a refuge giving affected residents accommodation and hot food as well as delivering meals to people stranded in their homes.
He said they had been let down by Doncaster Council “big style” because it had rowed back on its promise of helping with provisions to send out to villagers.
He said: “We had 45 residents that were stranded who wanted meals. Luckily everyone pulled together and we managed to get some hot meals out.”
The authority said it would now be offering humanitarian aid to those who have remained in Fishlake but this should not be attempted by residents.
Meanwhile, the next door village of Stainforth has been coming to the aid of those evacuated from their homes.
Other measures announced by Mr Johnson were:
- Funding for local councils where households and businesses have been affected – equivalent to £500 per eligible household
- Up to £2,500 for small and medium-sized businesses which have suffered severe impacts not covered by insurance
Referring to the response for people affected by the flooding, Mr Johnson added: “I know there will be people who feel that that isn’t good enough.
“I know there will be people who are worrying about the damage to their homes, who will be worried about the insurance situation, worried about the losses they face.
“All I want to say to those people is that there are schemes to cover those losses.”
Labour leader Jeremy Corbyn had earlier said the government’s response was “woeful” while Lib Dem leader Jo Swinson called for “long-term policy changes”.
Mr Corbyn said if the flooding had happened in Surrey it “would have been a very different story”.
Both leaders urged the prime minister to declare a “national emergency”.
The five severe flood warnings along the River Don in South Yorkshire have now been removed, but 20 flood warnings – meaning “flooding is expected” – remain in place.
Last week extensive downpours meant several areas were struck by a month’s worth of rain in a single day.
A couple who became new parents on Friday – to be told hours later that their home in Fishlake was underwater – have praised the support they have had from people as “invaluable”.
“Thank God for the people of Stainforth, and other people around for the support that they’ve shown,” said Dan Greenslade.
Meanwhile a Doncaster salon offered free “pamper” sessions for local children affected by flooding, and dozens of swans were rescued from oil from an upturned barge in Rotherham and cars which had been trapped in flood water.
Churches and community centres have collected toiletries, clothes, cleaning products and food for the hundreds of people displaced from their homes.