Next day the French army did not renew their attack, and the remnant of Bagration’s detachment was reunited to Kutuzov’s army.
Pierre’s attire by now consisted of a dirty torn shirt (the only remnant of his former clothing), a pair of soldier’s trousers which by Karataev’s advice he tied with string round the ankles for warmth, and a peasant coat and cap.
The farther they fled the more wretched became the plight of the remnant, especially after the Berezina, on which (in consequence of the Petersburg plan) special hopes had been placed by the Russians, and the keener grew the passions of the Russian commanders, who blamed one another and Kutuzov most of all.
There are no more uses of "remnant" in the book.
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They are working to eliminate remnants of al-Qaeda in that area.