Divide a 2-digit dividend by a 1-digit divisor

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.

Detailed Explanation: Divide a 2-digit dividend by a 1-digit divisor

To divide a 2-digit number by a 1-digit number, use place value: divide the tens first, then the ones.

Example: $87 \div 4$

Divide the tens.
$87$ has $8$ tens and $7$ ones.
Divide the $8$ tens into $4$ equal groups:

8 \div 4 = 2

Write $2$ in the tens place of the quotient.

Divide the ones.
There are $7$ ones left. Divide them into $4$ equal groups:

7 \div 4 = 1\text{ remainder }3

Write $1$ in the ones place. The remainder is $3$ .

State the answer.

87 \div 4 = 21\text{ R}3

This means each of $4$ groups gets $21$ , with $3$ left over. The remainder must be less than the divisor, and $3<4$ .

Check your work.
Multiply the quotient by the divisor, then add the remainder:

21 \times 4 + 3 = 84+3=87

Since the result is $87$ , the division is correct.

Learn by doing: Divide a 2-digit dividend by a 1-digit divisor

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Division as Fraction - With Remainder 2 x 1

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Divide a 2-digit dividend by a 1-digit divisor

Detailed Explanation: Divide a 2-digit dividend by a 1-digit divisor

Learn by doing: Divide a 2-digit dividend by a 1-digit divisor

Practice with unlimited practice problems

Practice:

Division as Fraction - With Remainder 2 x 1