How to use "remembering" in a sentence

So let us begin anew - remembering on both sides that civility is not a sign of weakness, and sincerity is always subject to proof

Then, remembering the silver on the bishop's table, he had an idea.

Cosette gazed at the doll for several minutes but, remembering her job, she sighed and continued on her way

"Is that Father O'Connor?" he asks, remembering his old priest.

And thanks for remembering I exist."

I said the things to her that it was my duty to say, remembering all the time how that morning I had said that a world without Colonel Protheroe would be a better place.