Divi
Share it out fair
Loading audio…
Press play to listen along. The line being read lights up as you go.
Show full transcript
Loading transcript…
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.
Hear it as an audio drama
A short play starring Divi, from TimesQuest. Different voices, same idea. Listen any time after you read.
Loading audio…
Read the drama script
- Narrator: From Spark and Anvil and Timesquest — this is Divi, in chapter 1 of the Timesquest cast.
- Narrator: This drama uses an AI-generated voice. Voiced via Gemini 2.5.
- Narrator: Divi is an otter, and otters love two things — fairness, and a good backwards flip. At the Times Workshop, when a pile of shells has to be split, the little animals panic.
- Divi: Division! They groan like it's a scary monster. But sharing isn't scary — 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.
- Narrator: Division scared Divi once, too. She had twenty clams and four hungry cousins, and she froze — how many each?
- Divi: Old otter Baskin told me, don't guess — deal them out. One clam to each cousin, around and around, like cards, until they're gone.
- Narrator: So Divi dealt: one, one, one, one — around again — until all twenty were shared.
- Divi: I counted one cousin's pile. Five! Every cousin had five, and I never had to guess. And then Baskin said the amazing part — four cousins with five clams each is four fives. That's Arlo's array. Twenty. Division just started at the twenty and found the five.
- Narrator: Divi did a barrel-roll in the water. Division wasn't a monster. It was multiplication doing a backflip.
- Narrator: Now a fretful frog named Tad has forty flies and five friends, staring at the pile like it might bite him.
- Tad: I don't know how many each. I only know my times facts.
- Divi: Perfect — that's all you need. You know five times something is forty. Five times what is forty?
- Tad: Five, ten, fifteen... five eights are forty! Eight each!
- Divi: See? You already knew it. Share it out fair. Division is just multiplication, backwards — the same fact, flipped.
- Narrator: You've been listening to a Spark and Anvil chapter, written by the Spark and Anvil writing team for ages 9 to 14.
- Narrator: Apps stay free forever.
- Narrator: Curriculum aligned to Common Core and Next Generation Science Standards.
- Narrator: Released under Creative Commons BY-NC-SA 4.0 for educational reuse. Visit Spark and Anvil for the full transcript.
Reading together with a grown-up? A card for the grown-up
For the grown-up: ask one question, then wait. When they answer, add one word to what they said. Tap the button when they have said something — that is one turn each, a circle. Nothing is recorded or kept.
Let them finish it
Say “Divi says: share the pile out fair — times …” and stop. Let them finish it.
Now wait. Count slowly to five in your head. Their answer is worth the quiet.
Circles together: 0
The TimesQuest ensemble
Divi is one of the friends in TimesQuest. Each friend shows you one idea by how they act; meet them all and you have the whole subject.
-
Arlo
Multiplication — equal groups & arrays — a tidy ant who marches a crew into equal rows to make an array; repeated equal groups IS multiplication (CCSS 3.OA)
-
Parti
Distributive / break-apart → fluency — a beaver who splits a hard fact into two easy known ones (7×8 = 7×5 + 7×3) and adds the parts (CCSS 3.OA.B.5)
-
Una
Unit fractions on the number line — a green inchworm who cuts a whole into exactly equal steps and stands on the line; 1/4 is a number, a place (CCSS 3.NF)
-
Mosa
Area & the array–area link — a slow, sure tortoise who tiles a rectangle with unit squares; area IS rows × columns, and the edge is perimeter (CCSS 3.MD)
-
Zola
Fact fluency (anti-shame) — a quick roadrunner who practices a fact till it pops; speed is a gift of kind practice, never a timed test, never a race lost (CCSS 3.OA.C.7)
-
Marlo
Mentor — a big-eared fennec fox who keeps the Times Workshop; meets every wrong answer with 'show me your thinking', never a sting; a mistake is a map, not a verdict
