A division remainder represents the amount left after forming whole groups; it can be expressed as a fractional or decimal part of one group by continuing the division, so remainder . The quotient must be interpreted in context and units: a decimal may describe a partial group or measurement, while situations requiring whole groups may require reporting the remainder or rounding up; repeating-decimal and more advanced generalizations are not included.
A remainder tells you how much is left after making whole groups. You can turn that leftover amount into a decimal by continuing the division.
Example: Divide meters of ribbon equally among pieces. How long is each piece?
Each piece gets meter, with meters left.
The leftover becomes tenths.
tenths divided by is tenths, with tenths left.
The leftover tenths becomes hundredths.
hundredths divided by is hundredths.
So,
Each piece is meters long. The remainder of meters became the decimal part, meter, which is of a meter.
Remember to use the context: if you are dividing items into groups that must be whole, report the remainder. For example, items in groups of makes whole group with left over.
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