Lesson 13 Divide Using Partial Quotients

    • Let’s use an algorithm using partial quotients to divide three-digit and four-digit dividends by two-digit divisors.

Warm-up Number Talk: Divide

Find the value of each expression mentally.

Activity 1 Compare Solutions

Problem 1

Use an algorithm using partial quotients to find the value of one of the quotients. Be prepared to explain how you found the quotient.

  1. Partner 1:

    divide. 32, long division symbol with six hundred eight inside

  2. Partner 2:

    divide. 19, long division symbol with five hundred eighty nine inside.

Problem 2

  1. Explain to your partner how you found the value of the quotient.

  2. Pair up with another group and compare your work.

Activity 2 Estimate and Solve

Estimate the value of each quotient. Then, use an algorithm using partial quotients to find the value.

  1. A reasonable estimate for is:

    Divide. 34, long division symbol with six hundred twelve inside.

  2. A reasonable estimate for is:

    Divide. 23, long division symbol with five hundred twenty nine inside.

  3. A reasonable estimate for is:

    Divide. 29, long division symbol with one thousand forty four inside.

Practice Problem

Problem 1

  1. Use partial quotients to find the quotient .

  2. Can you use partial quotients to find in a different way?