THE LITTLE CIVIC SERIESNo. 01 · A fair shareFOUR VILLAGES. ONE SHARED TABLE.
Remainder HallSeats for everyone.
A few households move. The whole room changes.
Help four little villages find their place in the hall.
Choose a village to leave, then choose a village to join. One household moves.
THE HALL IS READY
A place for every voice.
The fraction notebook How are seats shared? ↗
First, give each village the whole-number part of its fair share. Then award the remaining seats, one each, to the largest leftover fractions. Gold marks these extra seats. Exact ties go in village order: Cove, Orchard, Hill, Grove.
| Village | Households | Fair share | Whole seats | Remainder | Extra | Total |
|---|
Fair share = village households × hall seats ÷ all households. Remainders are compared exactly, before rounding.
A SMALL PUZZLE, A BIG IDEA
The art of sharing
what won’t divide.
Chairs are whole. Fair shares usually aren’t. This is Hamilton’s largest-remainder method, turned into a pocket puzzle about a fictional village assembly.
Move one household at a time until the seat counts match the petition on every card. Any solution earns a ribbon; the shortest route earns a gold one. Nudges don’t affect ribbons.
Keyboard: 1–4 choose villages · Escape cancel · U undo · R reset · H nudge. Touch or click works everywhere. Progress stays on this device. Inspired by election day; this fictional exercise does not model current U.S. House rules.