Dividing Numbers | Elementary

Concept sheet | Mathematics

How do you divide a number using the long division method?

Example

2 940 ÷ 12 = ?

  1. First, I place the divisor (12) to the left of the division bracket.
Example of a division of a four-digit number by a two-digit number -1
  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

     

Example of a division of a four-digit number by a two-digit number -2

 

Example of a division of a four-digit number by a two-digit number -3

  1. I bring down the next number of the dividend and place it to the right of the subtraction’s answer.
Example of a division of a four-digit number by a two-digit number -4
  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
     

Example of a division of a four-digit number by a two-digit number -5
Example of a division of a four-digit number by a two-digit number -6
  1. I bring down the next number.
Example of a division of a four-digit number by a two-digit number -7
  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.

     

Example of a division of a four-digit number by a two-digit number -8
Example of a four-digit number division by a two-digit number-9

 

2 940 ÷ 12 = 245

Dividing Numbers (Grades 5-6)

Dividing Numbers (Grades 5-6)

Exercise - Long Division Method - 5th and 6th Grade

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