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

Explanation and Free Practice Resources

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÷487 \div 4

  1. Divide the tens.
    8787 has 88 tens and 77 ones.
    Divide the 88 tens into 44 equal groups:

8÷4=28 \div 4 = 2

Write 22 in the tens place of the quotient.

  1. Divide the ones.
    There are 77 ones left. Divide them into 44 equal groups:

7÷4=1 remainder 37 \div 4 = 1\text{ remainder }3

Write 11 in the ones place. The remainder is 33.

  1. State the answer.

87÷4=21 R387 \div 4 = 21\text{ R}3

This means each of 44 groups gets 2121, with 33 left over. The remainder must be less than the divisor, and 3<43<4.

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

21×4+3=84+3=8721 \times 4 + 3 = 84+3=87

Since the result is 8787, the division is correct.

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

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Your results

Practice with unlimited practice problems

Division Cards Model - Deck and Hand Size to Player Count - No Remainder (2 Digit)


    ?

    Download/Modify Free Grade 5 'Divide a 2-digit dividend by a 1-digit divisor' Worksheet

    Print this free 'Divide a 2-digit dividend by a 1-digit divisor' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Divide a 2-digit dividend by a 1-digit divisor) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 5 Math