Long Division Using the Area/Array Model

Long Division as Fast Facts

EQ: How can we divide LARGE numbers into groups using the

area/array model?

Take the example:

• Mrs. Parker wants to divide 565 new students into 5 new classes. Wow! What a lot of work to do… How can she divide this large number of children?

Start by making your array/area boxes:

565

5

5

What can you multiply by 5 to get close to 565?

565

5

5

I can multiply 5 x 100 = 500

565

5

5

Place 500 inside your area model. Place 100 outside your area model.

565

5

500

5

100

565 - 500 = 65

• What’s left?

• 565 – 500 = 65

• How can I get close to 65?

5 x 10 = 50

565

5

500

5

100

Place 50 inside your area model. Place 10 outside your area model.

565

5

500

50

5

100

10

65 – 50 = 15

• What’s left?

• 65 – 50 = 15

• How can I get close to 15?

5 x 3 = 15

565

5

500

50

5

100

10

Place 15 inside your area model. Place 3 outside your area model.

565

5

500

50

15

5

100

10

3

Phew! Mrs. Parker took care of her 565 new students. It looks like

each class will have….

Use the numbers OUTSIDE your area model:

100 + 10 + 3 = 113

There will be 113 students in each class.

Time to check our work!

• Use the inverse operation:

113 (students)

x 5 (classes)

565 (total student)

We are correct!