Long Division Using Fast Facts

Long Division as Fast Facts

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

multiplication facts?

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 FWA box: Facts, Work, and Answer!

Facts Work Answer

Facts Work Answer

Start listing all the 5 facts you can remember in your Facts box!

Facts Work Answer

Start listing all the 5 facts you can remember in your Facts box!

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

Facts Work Answer

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

Your work will go here; don’t forget to use your fast fact with zeros to help you get close without going over! Put your dividend at the top of this box.

565

Facts Work Answer

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

What fast fact can you use to get as close to 565 as possible without going over?

565

565…

• I can use my fast fact 5 x 11 = 55 to get close to 565.

• I have to remember to get my hero (zero!) to help me out.

• 5 x 110= 550

Facts Work Answer

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

Take the fast fact you used + the zero! Place it in the answer box.

565 110 ( I used 5 x 11 = 55 plus my hero zero to get 5 x 110= 550)

Facts Work Answer

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

Come back to the work box and subtract 550. You used that much so far! What’s left?

565 -550 15

110

Facts Work Answer

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

Wow… I have 15 left.

What fast fact can I use?

565 -550 15

110

15…

• I can use my fast fact 5 x 3 = 15 to get to 15 exactly.

• I don’t have to remember to get my hero (zero!) to help me out because this is exactly 15

• 5 x 3= 15

Facts Work Answer

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

Take the fast fact you used. Place it in the answer box.

565 -550 15

110 3

Facts Work Answer

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

Come back to the work box and subtract 15. You used that much! What’s left?

565 -550 15 - 15 0

110 3

There is nothing left!Go back to your answer box and

add up all the fast facts (plus zero heroes) you used!

Facts Work Answer

5 x 1 = 5

5 x 3 = 15

5 x 6 = 30

5 x 7 = 35

5 x 9 = 45

5 x 10 = 50

5 x 11 = 55

Come back to the answer box. Add it all up! That’s your quotient.

565 -550 15 - 15 0

110+ 3

113

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

each class will have….

Use your answer box...

110 + 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!