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Math / Division / Grade 3 / md302

Make Sense of Division Leftovers

Share objects equally and decide what the leftover means.

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Learn the skill

Make equal groups. Check your result by multiplying the number of full groups by the group size and adding the leftover. For trips or boxes that must hold everything, a leftover may need one extra group.

Worked example

Put seventeen buttons into bags of five. Three full bags use fifteen buttons, with two left: 3 x 5 + 2 = 17. The leftover is smaller than the five buttons needed for another full bag.

Three labeled groups contain five buttons each, with two extra buttons outside the groups. Three times five plus two equals seventeen.
Three full bags of five account for fifteen buttons. Two buttons remain outside the bags.
Question 1 Share 23 pencils equally among 4 children. How many pencils are left over?
Question 2 Put 26 beads into bags of 5. How many full bags can you fill?
Question 3 Share 29 counters equally among 6 trays. How many counters remain?
Question 4 A minibus seats 8 passengers. What is the smallest number of minibuses needed for 33 passengers?
Question 5 Pack 41 cards into complete sets of 6. How many complete sets can you make?