Depends on your meaning and what dates. The British did NOT ban slavery "at the start of the 19th century" (meaning 1800s). They banned only the buying of slaves using English vessels and even then it was nominally enforced. In 1833, the English compensated approximately 3000 slavers for "loss of business assets" (yes, that's right, they compensated the slavers, not the slaves) including the ancestors of David Cameron, the Bazalgettes and other wealthy families.
Almost instantly after the passing of the 1833 act, the British used indentured labour to replace slavery. Indentured labour was found to be equivalently cruel. The historical record shows death rates as high or higher than the slavery period for indentured labourers brought from South Asia to the West Indies and South East Asia. https://www.theguardian.com/commentisfree/2006/dec/12/thefor...
This is a very interesting timeline about the abololition of slavery in different places and peoples https://en.wikipedia.org/wiki/Timeline_of_abolition_of_slave... i think it is also good to see things in the larger context
That seems fair: the slave-owners had undertaken obligations that by the standards, mores & laws of the time were normal, ethical & legal; changing mores & laws nullified those obligations, and hence they were compensated.
You'll find that it's a lot easier to change someone's mind if you say, 'I want you to do something which is right, and I'll pay you to do it!' than if you say, 'I want you to do something which is right, and I'll punish you for doing it!' What's more important in your mind: freeing slaves or punishing slaveholders?
It's stuff like this that reveals why some organizations like the NAACP are successful and others are not.
https://en.wikipedia.org/wiki/Slave_Trade_Act_1807
https://en.wikipedia.org/wiki/Blockade_of_Africa
https://en.wikipedia.org/wiki/Slavery_Abolition_Act_1833
It even pressed other countries to abolish it (not only for pure reasons, also for commercial ones, but they'd still make Machiavelli proud).