Divi

Divi was an otter, and otters love two things: fairness, and a good backwards flip.

At the Times Workshop, when a pile of shells had to be split among friends, the little animals panicked. “Division!” they’d groan, like it was a scary monster. They’d try to guess how many each should get, hand them out unevenly, and end up with somebody feeling cheated. Division felt like a whole new hard thing.

Divi would just laugh and slide down the muddy bank. “Sharing isn’t scary,” she’d say. “You do it every day. And here’s the best part — division isn’t even new. It’s a flip. It’s Arlo’s array, backwards.”

The little animals stared. Backwards? How could taking apart be the same as putting together?

---

Divi remembered when division scared her, too. She had 20 clams and 4 hungry cousins, and she froze — how many each? She almost cried.

Old otter Baskin floated over on his back. “Don’t guess,” he said. “Deal them out. One clam to each cousin, around and around, like cards, until they’re gone.” So Divi dealt: one, one, one, one… around again… until all 20 were shared. Then she counted one cousin’s pile. Five. Every cousin had five. It was perfectly fair, and she hadn’t had to guess at all.

“And look,” Baskin said, “you already knew this. Four cousins with five clams each — that’s four fives, which is Arlo’s array. Twenty. Division just started at the twenty and found the five. It’s the same fact, flipped.”

Divi did a delighted barrel-roll in the water. Division wasn’t a monster. It was multiplication doing a backflip.

---

Now a fretful frog named Tad had 40 flies and 5 friends, and he was staring at the pile like it might bite him. “I don’t know how many each,” he said. “I only know my times facts.”

“Perfect,” Divi said. “That’s all you need. You know 5 times something is 40, right? Five times what is forty?”

Tad blinked. “Five times… eight? Five, ten, fifteen… yeah, five eights are forty!”

---

“So there’s your answer,” Divi grinned. “40 flies shared among 5 friends is 8 each — because 5 times 8 is 40. You didn’t learn a new thing. You flipped a fact you already knew.” She had him deal a few out just to see it: one to each, around and around, and sure enough each friend ended with a neat pile of 8. The dealing and the fact matched.

“It’s a family,” Divi said. “5, 8, and 40 all live together. 5 × 8 = 40. 8 × 5 = 40. 40 ÷ 5 = 8. 40 ÷ 8 = 5. Know one, and you’ve got all four.”

Tad tried a bigger one and picked the wrong fact. He winced. “That gave leftovers. I did it wrong.”

“You picked a fact from the wrong family — easy fix, not a fail,” Divi said breezily. “Which times fact makes exactly this number, no leftovers?” Tad found the right family, and Divi treated the first try as just part of hunting for the right fact, because it was.

---

By the end, Tad could share any pile fairly and check it with the times fact he already knew.

“How’s it feel?” Divi asked, whiskers dripping.

Tad let out a long breath. There was a loose, relieved feeling in his chest, the feeling of a scary thing turning out to be a friend. “Not scary anymore,” he said. “It’s just my times facts, backwards. And it comes out fair every time. I was afraid of division for nothing.”

Divi splashed happily. That was the feeling she wanted — not the pride of a right answer, but the relief of realizing you already knew the hard thing all along. “That’s the secret,” she said. “Division isn’t new and it isn’t mean. It’s fair, and it’s just multiplication doing a backflip. If you know your times, you already know your divides.”

Tad hopped home sharing everything he found into fair, equal piles — and checking each one with a times fact, grinning the whole way.