Mateo and the Division Detectives

Mateo stands inside The Tinker Barn with his hand raised eagerly, grinning with excitement. He is surrounded by long wooden worktables cluttered with half-finished inventions and hand-drawn blueprints. Sunlight streams through tall, dust-speckled windows, casting golden rectangles on the floor. In the background, wooden shelves overflow with jars of nails, spools of wire, and scraps of wood, and a banner reading 'Spring Festival' hangs from the rafters.

Something exciting was happening at the end of Cobblestone Lane, and Mateo was right in the middle of it. The Tinker Barn—the town's beloved community workshop—buzzed with energy every afternoon, but today it hummed with something extra: possibility. Mayor Hernandez had just announced the Spring Festival, and she needed a volunteer to build a giant mosaic mural for the town square. Mateo's hand shot into the air before she even finished asking. "I'll do it!" he exclaimed, his eyes bright with excitement. Building things was what Mateo loved most in the world, and this was the biggest project he'd ever been offered.

Mateo leans over a long worktable in The Tinker Barn, staring wide-eyed at an open wooden supply crate overflowing with hundreds of small, colorful painted tiles in blues, yellows, reds, and greens. A large sketchpad showing a sunrise mosaic design is spread out beside him. In the background, sunlight pours through the tall dust-speckled windows of The Tinker Barn, illuminating the cluttered shelves and worktables.

The next morning, Mateo arrived at The Tinker Barn early, a sketchpad tucked under his arm and a plan forming in his mind. He spread his design across the biggest worktable: a colorful mosaic of a sunrise over the town, made entirely from small painted tiles. It would stretch across six wooden panels and hang in the town square for everyone to admire. "This is going to be amazing," he whispered to himself. Then he opened the supply crate. Inside were 372 tiles—bright blues, golden yellows, fiery reds, and soft greens. Mateo stared at the mountain of tiles and felt his stomach tighten. Three hundred and seventy-two tiles across six panels. How was he supposed to figure out how many tiles went on each one?

Mateo sits slumped on a wooden stool looking overwhelmed, while the old caretaker stands beside him with a kind smile, one hand resting on the worktable near the sketchpad. Both are inside The Tinker Barn near the supply crate of colorful tiles. In the background, shelves lined with jars of nails and spools of wire stretch along the barn walls.

Mateo slumped onto a wooden stool and rubbed his forehead. The number 372 felt enormous—like trying to carry a boulder up a hill. He thought about asking someone for help, but a stubborn voice in his head whispered, You volunteered. You should be able to figure this out alone. Just then, the workshop's old caretaker shuffled over, his white apron dusted with sawdust. He glanced at Mateo's sketchpad and the crate of tiles, then smiled knowingly. "Big project?" he asked. Mateo nodded miserably. "It's too many tiles. I don't even know where to start." The old caretaker pulled up a stool beside him. "You know what I do when a problem feels too big?" he said. "I become a detective. I break the big mystery into smaller clues. Division isn't about making things harder, Mateo—it's about making things manageable."

Mateo sits at the worktable writing eagerly in his sketchpad with a pencil, his face lit up with a grin of discovery. The old caretaker stands beside him, pointing at the sketchpad with an encouraging expression. In the background, the golden sunlight from The Tinker Barn's tall windows illuminates the worktable and scattered tiles.

"Think of it this way," the old caretaker continued, tapping the sketchpad with a weathered finger. "You have 372 tiles and 6 panels. Division is just asking: if I share these equally, how many does each group get?" Mateo picked up a pencil. He wrote 372 ÷ 6 at the top of a blank page and stared at it. "Start smaller," the caretaker suggested. "What's 36 divided by 6?" "Six!" Mateo answered quickly. "Good. So 360 divided by 6 is…" Mateo's eyes widened. "Sixty!" "And the leftover 12 divided by 6?" "Two! So each panel gets 62 tiles!" Mateo scribbled the answer, and a grin spread across his face. The enormous number didn't seem so scary anymore—not when he broke it into pieces he already understood.

Mateo leaps up from his stool with excitement, one fist in the air, his sketchpad on the table showing the equation 62 × 6 = 372. The old caretaker stands nearby laughing warmly, steadying a wobbling jar of nails on the shelf. In the background, The Tinker Barn's cluttered shelves and dusty windows are visible.

"But how do I know I'm right?" Mateo asked, tapping his pencil against the table. He'd learned the hard way that mistakes in building could mean starting over, and he didn't have time for that. The old caretaker's eyes twinkled. "Here's the secret, Mateo. Division and multiplication are two sides of the same coin. If 372 divided by 6 equals 62, then 62 times 6 should equal 372. Check it." Mateo multiplied carefully: 62 × 6. He broke that apart, too—60 × 6 is 360, and 2 × 6 is 12. Then 360 + 12 = 372. "It works!" he shouted, nearly knocking over a jar of nails. "It always works," the caretaker said with a chuckle. "Whenever you divide, you can multiply to check. They're partners—one takes apart, the other puts back together."

Mateo stands at a long worktable in The Tinker Barn, carefully sorting colorful tiles into six neat groups. His expression is thoughtful and slightly worried as he looks at the enormous task spread before him. In the background, a calendar on the wall shows five days circled in red, and the tall windows let in afternoon light.

Energized by his discovery, Mateo got to work sorting tiles into six equal groups of 62. He lined them up in neat rows across the worktable, counting carefully. But as he placed the last tile, a new worry crept in. The festival was only five days away, and painting, gluing, and assembling six mosaic panels was far more work than one person could handle—even someone who loved building as much as Mateo did. He thought about the caretaker's words: break the big mystery into smaller clues. Maybe the biggest clue wasn't about tiles at all. Maybe it was about asking for help. Mateo took a deep breath, swallowed his pride, and decided to invite his friends to join the project.

Mateo stands at the head of a worktable in The Tinker Barn, confidently addressing a group of eight children gathered around him. Bottles of glue and tiles are spread across the table, and Mateo holds up his sketchpad showing the division problem. In the background, the eight workstations are visible along the barn walls, each with a section of worktable and supplies.

By the next afternoon, eight friends had gathered inside The Tinker Barn, ready to help. They crowded around the worktable, chattering with excitement. "Okay," Mateo announced, clapping his hands together. "We have 372 tiles total, but I also have 96 bottles of glue that we need to share equally among 8 workstations—one for each of you." He paused and thought like a detective. "96 divided by 8…" He pictured smaller clues: 80 ÷ 8 = 10, and 16 ÷ 8 = 2. "That's 12 bottles each!" To double-check, he multiplied: 12 × 8 = 96. "Perfect," he said confidently. His friends cheered, and Mateo felt a warm glow in his chest. Leading didn't mean doing everything alone—it meant thinking clearly and sharing the work.

Mateo crouches at a worktable covered in shimmering gold-edged tiles, writing calculations in his sketchpad with a focused grin. A friend kneels beside him, laughing and holding a paintbrush dripping with gold paint. In the background, other children work busily at their stations in The Tinker Barn, painting and gluing tiles onto wooden panels.

The Tinker Barn became a hive of activity. Tiles clattered, brushes swished through paint, and laughter echoed off the wooden rafters. But on the third day, Mateo discovered another problem. He had 156 special gold-edged tiles meant to form the border of the sunrise mural—but the border ran along all six panels equally. "156 divided by 6," Mateo murmured, grabbing his pencil. He broke it down step by step: 120 ÷ 6 = 20, and 36 ÷ 6 = 6. So each panel needed 26 gold-edged border tiles. He checked with multiplication: 26 × 6. He split it again—20 × 6 = 120, and 6 × 6 = 36. Then 120 + 36 = 156. "Confirmed!" he announced proudly. His friend beside him laughed. "You sound like a real detective, Mateo!"

Mateo stands in front of the open supply closet in The Tinker Barn, holding a cracked jar of sealant with a worried expression. Sticky sealant has leaked onto the shelf below. Several friends stand nearby looking concerned. In the background, the six mosaic panels lean against the barn wall, partially completed with colorful tiles.

On the fourth day, disaster struck. Mateo opened the supply closet to find that three jars of sealant—the special coating that would protect the mural from rain—had cracked and leaked overnight. Instead of 9 jars, he now had only 6. His heart sank. Six jars for six panels meant only one jar per panel, and he wasn't sure that would be enough. "What if we don't have enough sealant?" one of his friends asked nervously. Mateo felt the old panic rising in his chest, that familiar feeling of a problem too big to solve. But then he closed his eyes and thought like a detective. "One jar covers about 40 tiles," he reasoned aloud. "Each panel has 62 tiles. That's not enough per panel." The room went quiet.

Mateo stands at the worktable in The Tinker Barn, snapping his fingers with a brilliant grin as an idea strikes him. His sketchpad is covered in calculations, and his friends surround him with expressions changing from worry to joy. In the background, the six mosaic panels are now nearly complete, leaning against the barn wall with colorful sunrise patterns emerging.

Mateo paced beside the worktable, thinking hard. "Okay, let's figure out exactly what we have," he said. "6 jars, and each covers 40 tiles. That's 6 times 40—240 tiles we can seal." He wrote it down. "But we have 372 tiles total. 372 minus 240 is 132 tiles that won't be covered." His friends groaned, but Mateo held up his hand. "Wait. What if we only seal the outside border tiles—the ones that will actually get rained on? We have 156 gold-edged border tiles. That's still too many…" He paused, then snapped his fingers. "But the top panels will be sheltered under the awning! Only four panels are exposed. That's 26 border tiles times 4 panels—104 tiles! And 104 is less than 240!" He checked: 26 × 4 = 104. "We have MORE than enough!" The room erupted in cheers.

Mateo and his eight friends carry the six gleaming mosaic panels through the cobblestone street toward the town square on a bright sunny morning. Mateo leads the group, beaming with pride. The old caretaker watches from the side of the street, arms folded, smiling warmly. In the background, colorful buildings line Cobblestone Lane, decorated with spring flowers and festival banners.

On the morning of the Spring Festival, Mateo and his friends carried the six finished panels down Cobblestone Lane to the town square. The sunrise mosaic gleamed in the real morning sunlight—372 tiles in brilliant blues, golden yellows, fiery reds, and soft greens, all divided perfectly across six panels, each one sealed and shining. The townspeople gathered and gasped. "You built this?" someone called out. "WE built this," Mateo corrected with a proud smile, gesturing to his friends. The old caretaker from The Tinker Barn stood at the edge of the crowd, his arms folded across his dusty apron, nodding slowly. When their eyes met, Mateo mouthed two words: "Thank you." The caretaker simply tapped his temple and smiled, as if to say, The answers were always in there.

Mateo sits alone on a bench in the town square at dusk, gazing up at the completed sunrise mosaic mural glowing under the warm light of hanging lanterns. His expression is peaceful and content. In the background, the cobblestone town square is lit by flickering lanterns, with the colorful buildings of the small town visible in the fading evening light.

That evening, as the festival music faded and the lanterns flickered along Cobblestone Lane, Mateo sat on the bench in front of the mural. He traced its edges with his eyes—every tile in its place, every panel balanced and whole. A week ago, 372 tiles had felt like an impossible mountain. But he'd learned something important: big problems aren't meant to be solved all at once. You break them into smaller pieces, check your work by thinking in reverse, and never be afraid to ask for help. Division and multiplication weren't just math—they were a way of thinking, a way of building, a way of believing that even the biggest challenge could be solved one step at a time. Mateo smiled and headed home, already wondering what he'd build next.

Mateo and the Division Detectives

Browse More Stories

from the Fable Public Library