Lesson 14 Practice an Algorithm Using Partial Quotients

    • Let’s practice using an algorithm using partial quotients.

Warm-up Which One Doesn’t Belong: Different Ways

Which one doesn’t belong?

  1. Divide. 1 thousand 3 hundred twelve divided by 82. First row: 16. Second row 82, long division symbol with 1 thousand 3 hundred twelve inside.
  2. Divide. 1 thousand 3 hundred twelve divided by 82. 6 rows. First row: 16. Second row: 1. Third row: 5. Fourth row: 5. Fifth row: 5. Sixth row: 82, long division symbol with 1 thousand 3 hundred twelve inside.
  3. Divide. one thousand three hundred twelve divided by 82. 
  4. Divide. 1 thousand 3 hundred twelve divided by 82, 5 rows. First row: 16. Second row: 10. Third row: 5. Fourth row: 1. Fifth row: 82, long division symbol with 1 thousand 3 hundred twelve inside.

Activity 1 Find the Mistake

For each problem, describe where you see an error in the calculation. Then find the correct whole number quotient.

  1. Divide. one thousand six hundred fifty six divided by 46.
  2. Divide. nine hundred seventy two divided by 18.
  3. Divide. seven hundred forty four divided by 24.

Activity 2 Practice Problems

Find the value of each expression. Then check in with a partner to review your work.

  1. Divide. 16, long division symbol with seven hundred sixty eight inside.
  2. Divide. 29, long division symbol with one thousand three hundred five inside.
  3. divide. 21, long division symbol with eight thousand seven hundred fifteen inside.
  4. divide. fifty 3, long division symbol with six thousand five hundred seventy two inside

Practice Problem

Problem 1

Find using partial quotients. Explain your calculations.