Workers have started bulldozing the Calais "Jungle" camp as thousands of migrants and refugees were taken by bus to their new homes.
Heavy duty machinery was brought in this as the mass exodus of the camp continued into its second day.
1,636 people, including 372 minors, passed through the registration centre, bringing the total number over two days to over 4,000.
Some 1,264 adult migrants and refugees were taken by 33 buses to 55 accommodation centres in nine regions across France, the French Interior ministry said.
At least 772 unaccompanied minors have been identified during the two days, while 217 minors with family in Britain have come to the UK since October 17, it added.
Dozens of workers in orange jumpsuits and white helmets helped by dumping the pallets, fabric and plastics which once housed migrants into the industrial container.
A group of migrants huddled together in silence as workers tore down a nearby blue and yellow patterned shelter which was decorated inside by blankets.
Dorothy Sang, working on the ground for Save the Children, said the camp was being made even more dangerous by demolition starting before everyone had left.
She said: “It is unacceptable that the demolition has just started while those children haven't been put to a safe place or accounted for.
"We know from the last time the camp was demolished that this escalates very quickly.
"This is not a safe environment for children - particularly children on their own."
Earlier, scuffles broke out in the camp less than an hour after French authorities began a second round of processing refugees and migrants for relocation to other parts of the country.
Elsewhere in the camp the once-bustling main thoroughfare was quiet, with most of the shops and restaurants abandoned.
The earlier spat is thought to have started as unaccompanied minors were being separated from the main queue and taken to the front.
Someone shouted into a loudspeaker: "Sit down, the door is closed. Stop pushing," while cries of "Help, please help" were heard as people started to panic.
Migrants and refugees believed to be minors could be seen crouching down by metal barriers while police formed a protective circle around them.
Save the Children said it was "very concerned" about the way in which minors were being registered.
Ms Sang said: "The children have waited for months and months and now at the final hurdle it feels like this process is just really not working for them in their best interests."
An aid worker for the Care4Calais charity on the ground said she had seen police rip a scarf off a migrant's face to judge how old he was.
Numbers are expected to be fewer than yesterday, when hundreds of camp residents with holdalls, rucksacks and wheeled bags queued up in the dark more than an hour before the registration centre opened.
Many migrants were studying sheets of paper given to them by aid workers which included information in Arabic and English and a map of France.
Buses will arrive every day until they are no longer needed, it is understood, with officials saying the entire operation will last at least a week.
Nestled in the sand dunes, the Jungle is a symbol of Europe's failed migration policies as member states bicker over who should take in asylum-seekers and economic migrants.
Many have fled countries like Afghanistan, Syria as well as Eritrea and Sudan.
London and Paris have been at odds over the fate of about 1,300 unaccompanied child migrants. The French government last week urged Britain to step up its efforts and resettle child migrants.
Yesterday, British Home Secretary Amber Rudd said Britain would take in roughly half of the camp's children who are alone.
"Then we will have done our commitment to the French," Ms Rudd said in parliament.
Six months ahead of a presidential election in France, the camp and border controls with Britain are hotly debated campaign themes. Some right-wing opponents of President Francois Hollande want all the migrants transferred to Britain.
Meanwhile, the far-right National Front party said the government plan would create mini-Calais camps across France.