The bit left over
What Is a Remainder?
When a total will not split evenly, the bit left over is the remainder.
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Step 1 of 5
Every group is the same size.
Ten counters, three to a group. The group size says when a group is full.
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Step 2 of 5
Fill groups until you cannot.
Three groups fill up. One counter is left, and one cannot make a fourth group.
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Step 3 of 5
The leftover is smaller than the group.
If three counters were left over, they would simply make another whole group.
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Step 4 of 5
Groups plus leftover rebuild the total.
Nine counters in groups, one left over, back to ten. That checks the answer.
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Step 5 of 5
Sometimes nothing is left over.
Nine counters into groups of three leaves nothing. Then the remainder is zero.
365 ÷ 7 = 52 remainder 1. That one extra day is why your birthday lands on a new weekday each year.
The short version
A remainder is what is left when no more equal groups can be made.
Try it yourself
Share 10 buttons into 3 cups, one button per cup each turn. Three cups fill; one is left.
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