There was just so much useless crap after a city was bombed. How did they dispose of this?
At least in Germany, since all the able-bodied men had been killed off or broken, women and a few old men did it. With their hands, and shovels, and wheelbarrows.
https://i.pinimg.com/736x/c9/bd/cd/c9bdcd4cd4cceeb7f4b0063b85ec5a25--in-the-shadows-shadow-of.jpg
https://i.pinimg.com/736x/1b/a9/10/1ba910e39c779f2a08a09a42c7623df9--berlin--berlin-germany.jpg
What did they do with the rubble, you ask? Welp, they built the Teufelsberg https://www.zdf.de/assets/teufelsberg-102~1280x720?cb=1490352226239, a 400 foot tall mound of rubble that the Americans then used as a site to build spy facilities on so they could look at the Rooskies. They had little ladies with hammers whacking the mortar off the bricks if they could. And they recycled massive amounts of steel and other material. But if it couldn't be cleaned, recycled, or reused, it got dumped in massive piles which are still there today. They turned them into parks, or built on top of them.
I'm pretty certain this was the standard response. Europe, in general, was flattened. Rationing persisted in the UK until 1954, I believe. It was just as bad elsewhere, especially in the years right after the war. Stories of being able to buy a woman in Berlin for a chocolate bar or a pack of smokes were not unusual or made up. So a job knocking mortar off a brick was all that stood between their children and starvation. Fuel was used for important things like moving food. Rubble was a manual labor job for years.
In London Sir Warren Fisher was appointed as a Special Commissioner in 1940 to "organise the clearance and salvage of debris and to facilitate the work of the authorities responsible for the restoration of roads and public utility services". He employed the Pioneer Corps, other troops and the unemployed to clear rubble. Where possible intact bricks, tiles etc. were recycled for rebuilding programmes; other rubble was used as hardcore, much in demand for the massive airfield building programme from 1942, or dumped in the Leystone Marshes to form parkland. In Merseyside debris from the bombing of Liverpool and Bootle was taken up the coast to Sefton and used as sea defences; there was little processing of the rubble, some recognisable parts of buildings remain as documented by photographer Tom Fairclough in [Collateral] (http://coast.foliohd.com/collateral#untitled-1jpg-1). In Bristol rubble was used as ballast for ships returning to America after bringing supplies in; in New York that ballast then became [landfill for FDR Drive between 23rd and 34th Street] (http://www.nytimes.com/2009/06/28/nyregion/28fyi.html).
In Germany the situation was similar, though on a larger scale due to heavier Allied bombing. Prisoners of war, forced labourers from occupied territories and concentration camp inmates were used in large numbers to clear rubble [during the war] (http://humanities.exeter.ac.uk/media/universityofexeter/collegeofhumanities/history/researchcentres/centreforthestudyofwarstateandsociety/bombing/THE_BOMBING_OF_GERMANY.pdf); post-war more of the burden fell on Trümmerfrauen ("rubble women"), though there is [an argument] (http://www.dw.com/en/dismantling-the-german-myth-of-tr%C3%BCmmerfrauen/a-18083725) that their role has been somewhat mythologised.
