Division games that show what the numbers mean
Division can ask two different questions. If you share twelve counters equally between three groups, how many go in each group? If you put twelve counters into groups of three, how many groups can you make? Both use 12 ÷ 3 = 4, but the three and the four describe different things. This free Division Workshop lets you build both pictures rather than only select a number.
Share equally: the number of groups is known
Choose Share equally. The groups are already on the mat. Add one counter to a chosen group or take one back; counters move between that group and the unassigned pool. Give one to each group deals a single round to all groups. Keep sharing until every counter is placed and every group has the same number. Then answer how many counters are in each group.
For 12 ÷ 3, the sharing picture has three groups with four counters in each. If one group has more, take counters back from it and share them again. Check keeps unequal work available and explains what to change. The shortcut does not repair an unequal arrangement automatically.
Make equal groups: the size of each group is known
Choose Make equal groups. This mat starts without groups. Make a complete group of the selected size, then another, until there are no counters left to place. You can take the last group back. The answer now counts the groups, not the counters inside one group.
For 12 ÷ 3, the grouping picture has four groups of three. Compare it with sharing twelve between three groups: the total and equation are the same, but the arrangement and question change. A matching multiplication sentence appears after Check or when you ask for the equal-groups hint.
Choose a divisor and continue at your own pace
Choose any divisor from 1 to 12. Each meaning and divisor keeps a separate eight-challenge round: twenty-four saved routes in total. Quotients range from zero to twelve, so the largest total is 144. Each round includes a zero total, a quotient of one and a quotient of twelve. Divisors are always positive. These activities cover exact whole-number division; there are no remainders, decimals, fractions or division by zero.
Zero counters shared between a positive number of groups gives zero in each. Zero counters also makes zero groups of a positive size. The zero challenge states this explicitly. Dividing by one keeps the original total as the quotient: one sharing group holds everything, while groups of one match the number of counters.
Choose one of four quotient answers and use Check my answer. Both the counters and the number must match. A wrong answer stays editable, without a penalty or countdown. Show equal groups (hint) arranges the counters and reveals the relationship; you still choose the answer, check it and press Next yourself. Finish round records completion and earns that route’s sticker in the sticker book. Hints are welcome. A sticker records supported practice, not independent mastery or an assessment result.
Phone, keyboard and saved work
All actions use labelled buttons and native selectors; dragging is not needed. Tab moves between controls, and Enter or Space activates them. Holding an activation key does not keep checking or advancing questions. Group labels state their counts, so colour and tiny marks are not the only information. Larger arrangements use ordinary page scrolling. The game works silently.
Work saves in this browser, including unfinished groups and checked questions waiting for Next. Change practice keeps each route separate. Favourites and recent games return to the selected meaning and divisor. If storage is blocked, a warning explains that you can continue on the page but may lose work when leaving. Clearing browser data can remove progress and stickers.
Connect the inverse facts in Times Tables, or use Place Value Workshop to exchange equal quantities. England’s mathematics programme includes sharing, grouping and the inverse relationship between multiplication and division. This game provides selected practice, not a complete curriculum or an age deadline. Read the DfE programme of study.