← Back to course
2/6
Week 06 · Divide with remainders

Tuesday

Partial quotients
// Share by place value, then check
⏱ about 15 min

Tuesday: Partial quotients

Oliver has gathered 672 sunflower seeds for the trail birds.

"I wish to fill 3 feeders equally," he says, tapping his notebook.

"But 672 is a large number to share one seed at a time."

Bennie rubs his chin. "Then let us share it in big parts."

"First we share 600. Then 60. Then the last 12."

Oliver nods with approval. "Hundreds, then tens, then ones. Very orderly."

Together they write each part on a long strip of bark.

Learn it: share each part

Split 672 into parts that 3 can share evenly: 600, 60 and 12.

÷6006012
3200204

600 ÷ 3 = 200.

60 ÷ 3 = 20.

12 ÷ 3 = 4.

Add the partial quotients: 200 + 20 + 4 = 224.

Check with multiplication: 3 × 224 = 672.

PARTIAL QUOTIENTS
  • Read the question.
  • Tap your answer.
In 848 ÷ 4, what is 800 ÷ 4?
In 936 ÷ 6, what is 600 ÷ 6?
In 575 ÷ 5, what is 75 ÷ 5?
Which parts make 936 ÷ 6 easy?
DIVIDE THREE DIGITS BY ONE DIGIT
  • Read the question.
  • Tap your answer.
848 ÷ 4 = ?
672 ÷ 3 = ?
936 ÷ 6 = ?
575 ÷ 5 = ?

Learn it: when something is left over

For 457 ÷ 3, split 457 into 300, 150 and 6. One is left over.

÷3001506
3100502

Add the partial quotients: 100 + 50 + 2 = 152.

So 457 ÷ 3 = 152 R 1. Check: 3 × 152 + 1 = 457.

DIVIDE WITH A REMAINDER
  • Read the question.
  • Tap your answer.
What is 457 ÷ 3?
What is 635 ÷ 4?
What is 829 ÷ 6?
What is 500 ÷ 7?
Check with multiplicationTrue or false?
3 × 224 = 672?
4 × 212 = 846?
6 × 156 = 936?
5 × 115 = 585?
WHY THIS EXERCISE4 × 212 is 848 and 5 × 115 is 575.
ORDER THE QUOTIENTS
  • Find each quotient.
  • Put them from least to greatest.
11st
22nd
33rd
44th
Try it
Ask a grown-up for a bag of dry beans or rice grains you can count.
Make 3 piles of 100, 3 piles of 10 and 6 single beans.
Share all of them into 3 cups, a pile at a time.
How many are in each cup? Check: 336 ÷ 3 = 112.
Draw a partial quotient table for 848 ÷ 4.

Very orderly work! Tomorrow we divide numbers with four digits.

← Monday