I've attached a photo of the same peace lily regarding browning leaves.

I've noticed that there appear to be three plants (I believe each is called a husk?).

The plant is in a pot, approximately 6 inches in diameter. Can I separate the three? Is this a good time to do so?

I'd let it grow a bunch more fans of leaves, Dom. These plants grow naturally in a crowded clump, sort of like daylilies, and I think they bloom better once they're crowded together. Birds of Paradise are the same way, won't bloom until they're crowded and comfy. Only thing I'd do is maybe add a handful or two of fresh potting soil around the bases - see where the rear one in your picture is putting out roots above the soil?

Here's a shot of mine. It was about 1/10th the size it is now when a friend gave it to me a couple of years ago. I just stuck it in a window box, and it has grown and expanded to this, pretty much unaided except for a little water in hot weather, and an occasional sprinkle of fertilizer. There must be at least 25 fans of leaves in this clump. I surely could divide it, but I figure I shouldn't mess with success. I took a picture of the base of this plant, but it was too dark and the camera wouldn't focus.

My Peace Lily is indoors for our short winter. I've kept it indoors all year l9ng before but it prefers to be outside. By March, it will be back where she belongs. For now she sits in front of a bright window.

One particularly cold winter in the garage nearly killed it. But it bounced back to what it is today. One big mistake, or doesn't bloom because the pot is to big. When bringing it back to life, I kept the original pot when I should have reduced the size. Still it is thriving in green.

I agree with Elaine. I would hold back on dividing. It seems to do better when crowded.

When to split a Peace Lily, summer or wait until winter

They really like to be pretty crowded, and bloom better that way. I'd leave it to grow like crazy all summer, then split it when it slows down in winter, or early spring next year. Or just pot the whole thing up to a new pot and leave it in a nice lush clump.