Content code
m1618
Slug (identifier)
dividing-numbers-elementary
Grades
Grade 3
Grade 4
Grade 5
Grade 6
Equivalent file in the opposite grade group
Topic
Mathematics
Content
Contenu
Links
Title (level 2)
3rd and 4th Grade
Title slug (identifier)
third-and-fourth-grade
Contenu
Links
Title (level 3)
What is a division?
Title slug (identifier)
what-is-a-division
Content
Corps

Division is the operation that allows a quantity to be placed into equal groups.

Corps

In a division, the dividend is the number being divided and the divisor is the number that divides. The quotient is the division’s answer.

Content
Image
Division terms
Corps

To learn what the “|\div|” and “|=|” symbols mean, read the Lexicon of Mathematical Symbols concept sheet.

Title (level 3)
How do you divide numbers using objects or drawings?
Title slug (identifier)
how-do-you-divide-numbers-using-objects-or-drawings
Corps

Several types of objects can be used to represent numbers. For example, tokens, cubes, or base 10 materials can help in the calculations.

Content
Corps

27 ÷ 3 = ?

  1. I determine the number of groups to form and then place an object in each group.

    The division 27 ÷ 3 means that I am dividing the objects into 3 equal groups.

Séparation d’un nombre en groupes égaux pour trouver le quotient d’une division - 1
  1. I restart until I have shared all 27 items, and then I count how many objects are placed in each group. 

    I placed 9 objects in each group.

Séparation d’objets en groupes égaux pour trouver le quotient d’une division - 2

27 ÷ 3 = 9

Content
Corps

364 ÷ 2 = ?

  1. I determine the number of groups to form and place the same amount of hundreds, tens, and ones in each group.

    The division 364 ÷ 2 means that I am dividing 364 into 2 equal groups.

Séparation en groupes égaux d’objets représentant les valeurs de position d’un nombre pour trouver le quotient d’une division
  1. I count the number of hundreds, tens, and ones placed in each group.

    I have 1 hundred, 8 tens, and 2 ones in each group.

image

 

 364 ÷ 2 = 182

Content
Corps

Remember that a hundred can be separated into 10 tens, and a ten can be separated into 10 ones.

Title (level 3)
Exercise - Dividing Numbers - 3rd and 4th Grade
Title slug (identifier)
exercise-dividing-numbers-3rd-and-4th-grade
Exercice
Largeur de l'exercice
720
Hauteur de l'exercice
720
Title (level 3)
How do you divide a number using the long division method?
Title slug (identifier)
how-do-you-divide-a-number-using-the-long-division-method
Content
Corps

614 ÷ 2 = ?

  1. First, I place the divisor to the left of the division bracket.

First step of a long division

  1. I divide the first number of the dividend.

    I ask myself how many times 2 goes into 6.
    2 goes 3 times into 6, since 2 × 3 = 6.

    I write 3 above the division bracket and 6 under the 6 of the dividend.

    Finally, I perform a subtraction
    6 - 6 = 0

Second step of a long division

Third step of a long division

  1. I bring down the next number of the dividend and place it to the right of the subtraction’s answer.

Fourth step of a long division

  1. I ask myself how many times 2 goes into 1.
    2 does not go into 1 evenly.

    I write 0 on top of the division bracket as well as under the 1 of the subtraction.

    I perform a subtraction.
    1 - 0 = 1

Fifth step of a long division

Sixth step of a long division

  1. I bring down the next digit (4) and continue the division using the number 14.

    2 goes 7 times into 14, since 2 × 7 = 14.

    Next, I write 7 above the division bracket and 14 under 14.

    I perform a subtraction.
    14 - 14 = 0

    The division is complete since the result of the subtraction is 0 and there is no digit left to bring down.

Seventh step of a long division

Eighth step of a long division

614 ÷ 2 = 307

Title (level 3)
Exercise - Long Division Method - 3rd and 4th Grade
Title slug (identifier)
exercise-long-division-method
Largeur de l'exercice
720
Hauteur de l'exercice
720
Contenu
Title
See also
Content
Links
Title (level 2)
5th and 6th Grade
Title slug (identifier)
fifth-and-sixth-grade
Contenu
Title (level 3)
How do you divide a number using the long division method?
Title slug (identifier)
how-do-you-divide-a-number-using-the-long-division-method0
Content
Corps

2 940 ÷ 12 = ?

  1. First, I place the divisor (12) to the left of the division bracket.

image
  1. Then, I divide the first number of the dividend.

    I ask myself how many times 12 goes into 2.
    12 does not go into 2.

    So, I look at the first two digits of the dividend.

    I ask myself how many times 12 goes into 29.

    12 goes into 29 twice, since 2 × 12 = 24.

    Next, I write 2 in the result above the division bracket and 24 under the 29 of the dividend.

    I perform a subtraction.
    29 - 24 = 5

image

 

image
  1. I bring down the next number of the dividend and place it to the right of the subtraction’s answer.

image
  1. I ask myself how many times 12 goes into 54.
    12 goes 4 times into 54, since 12 × 4 = 48.

    I write 4 above the division bracket and 48 under 54.

    I perform a subtraction.
    54 - 48 = 6

Image

 

Image
  1. I bring down the next number.

Image

 

  1. I ask myself how many times 12 goes into 60.
    12 goes 5 times into 60, since 5 × 12 = 60.

    I perform a subtraction.
    60 - 60 = 0

    The division is complete, since the result of the subtraction is 0 and there is no digit left to bring down.

Image

 

#

2 940 ÷ 12 = 245

Title (level 3)
Exercise - Long Division Method - 5th and 6th Grade
Title slug (identifier)
exercise-long-division-method-grades-5-6
Largeur de l'exercice
720
Hauteur de l'exercice
720
Contenu
Title
See Also
Content
Links
Remove audio playback
No
Printable tool
Off