This is the 14263rd most frequent Russian word.
остатками
Remnants; leftovers; remains.
This instance refers to 'остатками' as physical remnants or leftovers of food.
Мы разделили ужин с остатками вчерашней еды.
We shared a dinner with leftovers from yesterday's meal.
Here, 'остатками' refers to lingering traces or remnants of dust.
На столе лежали книги с остатками пыли на обложках.
Books with traces of dust on their covers were lying on the table.
In this case, 'остатками' implies remnants or the last portions of his patience.