This understanding involves partitioning a whole number from 10 through 99 into equal groups of 1–9, using place value to determine how many groups fit in the tens and ones and representing the result with a quotient and, when necessary, a remainder smaller than the divisor. The quotient and remainder are interpreted in context and verified by multiplication and addition; decimal quotients, fractions, larger dividends, and multi-digit divisors are outside this scope.
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To divide a 2-digit number by a 1-digit number, use place value: divide the tens first, then the ones.
Example:
Divide the tens.
has tens and ones.
Divide the tens into equal groups:
Write in the tens place of the quotient.
Divide the ones.
There are ones left. Divide them into equal groups:
Write in the ones place. The remainder is .
State the answer.
This means each of groups gets , with left over. The remainder must be less than the divisor, and .
Check your work.
Multiply the quotient by the divisor, then add the remainder:
Since the result is , the division is correct.
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