Our whole school of 347 pupils is going on a GAA trip, and they are sharing evenly between 6 coaches. Do you think 6 will share into 347 with nothing left over — and if something is left over, what would we do with it?
Give five seconds of quiet think-time before any hands go up, then take two or three estimates. Don't confirm anything yet — the point is to raise the leftover question, not to solve it.
The interactive shows counters already shared into equal groups. Look at how many are in each group, and notice any counters left over. Three words to know: quotient, divisor, remainder.
347 into 6: fills to 57, 5 left over, so 57 remainder 5. Name the three words as you deal: group size is the quotient (57), number of groups the divisor (6), leftover the remainder (5). Stress the remainder must be smaller than the divisor, or you could share again.
Bus-stop for 347 divided by 6, write it live: read 34 first, not the lone 3. Six into 34 is 5 (5 x 6 = 30), carry the 4 to make 47. Six into 47 is 7 (7 x 6 = 42), remainder 5. Top row reads 57 remainder 5, same as the counters.
628 into 4: clean share, 157 in each, no remainder. Then pause and ask the class to predict the leftover for 982 into 7, big or small, before revealing.
982 into 7: 140 each, 2 left over, so 140 remainder 2. Check by multiplying quotient by divisor and adding the remainder: 140 x 7 add 2 brings us back to 982.
Today we work through 425 ÷ 3 together on the interactive, dealing the counters into the groups, reading off how many are in each group, and naming the remainder. Before the reveal we'll say aloud what we think the leftover will be. After that, we'll set out two more on the board together — 638 ÷ 5 and 700 ÷ 8 — using the bus-stop method, predicting each leftover first.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Run 425 ÷ 3 on the interactive first: predict the group size and leftover, then deal and confirm. Then write 638 ÷ 5 and 700 ÷ 8 on the board using short division. Watch for the common slip of writing a remainder that is bigger than the divisor — if the leftover is 5 and we're sharing into 3, we haven't finished sharing. After each one, reconcile with a quick multiply-back on the board.
Before you open your copy, we work one leftover decision together on the board. 50 children need buses, and each bus holds 8. We set out 50 ÷ 8 with the bus-stop method, name the quotient and the remainder, then decide whether to round up, round down, or keep the leftover, and write one sentence that matches the situation. After that, in your maths copy, set out each short-division calculation using the bus-stop method, write the quotient and remainder clearly, then check by working quotient × divisor + remainder. Box the result once your check comes back to the number you started with. For the last two, write one sentence saying what the leftover means in that situation, the same way we did on the board.
Board demo before copies open. Bus-stop for 50 ÷ 8: 8 into 50 is 6 (6 × 8 = 48), remainder 2, so quotient 6 remainder 2. Decision: the 2 children still need a seat, so round UP to 7 buses. Model sentence: We need 7 buses because the 2 left over still need a bus. Quick name of the three choices: round up when leftover still needs a full group, round down when leftover cannot make a full group, keep as is when leftover stays spare.
Then copies. Walk the room glancing for a clear quotient and a remainder written smaller than the divisor. This is whole-class copybook practice, not marking, prompt the check line rather than correcting the whole sum. Last two: leftover medals go back in the box (keep), leftover players cannot form a team (round down). Slip to watch: treating every leftover the same way, or writing a remainder bigger than the divisor.
Today we solve these real-life division problems together: sharing hurleys fairly, filling buses for a GAA crowd, forming full teams from a squad, and a last one about sharing medals evenly. Each problem's action words tell us it is a sharing problem — 'shares equally', 'how many full', 'each bus holds'. We read, choose divide, build the number sentence, work the answer, and check it before we move on.
These are the practice questions — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
All four here divide exactly, so the practice is on choosing divide, reading the action words, and checking by multiplying back. The deeper work of interpreting a remainder happens in the copybook set and the maths talk that follows, where the medals and teams problems leave something over.
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