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CanadaON
Grade 5

Divide whole numbers using long division

Lesson

Long division is the name given to a particular written process to work out the division of one number with another.

  • The number to be divided into is known as the dividend
  • The number which divides the other number is known as the divisor
  • The answer, is called the quotient.  

 

For example

If we have bigger or more complicated division calculations to do, we can use long division to do it on paper.

The process

Long division is set up like this,

Worked Examples

Question 1

Evaluate $723\div3$723÷​3

  1.     $\editable{}$ $\editable{}$ $\editable{}$
    $3$3   $7$7 $2$2 $3$3
        $\editable{}$    
        $\editable{}$ $\editable{}$  
        $\editable{}$ $\editable{}$  
          $\editable{}$ $\editable{}$
          $\editable{}$ $\editable{}$
            $\editable{}$

Question 2

Evaluate $7850\div25$7850÷​25

  1.  

            $\editable{}$ $\editable{}$ $\editable{}$
    $2$2 $5$5   $7$7 $8$8 $5$5 $0$0
          $\editable{}$ $\editable{}$    
          $\editable{}$ $\editable{}$ $\editable{}$  
          $\editable{}$ $\editable{}$ $\editable{}$  
            $\editable{}$ $\editable{}$ $\editable{}$
            $\editable{}$ $\editable{}$ $\editable{}$
                $\editable{}$

Question 3

Evaluate $5642\div24$5642÷​24

  1. $\editable{}$ $\editable{}$ $\editable{}$ r $\editable{}$
    $2$2 $4$4 $5$5 $6$6 $4$4 $2$2
    $\editable{}$ $\editable{}$
    $\editable{}$ $\editable{}$ $\editable{}$
    $\editable{}$ $\editable{}$ $\editable{}$
    $\editable{}$ $\editable{}$ $\editable{}$
    $\editable{}$ $\editable{}$ $\editable{}$
    $\editable{}$

Outcomes

5.NN3.03

Multiply two-digit whole numbers by two-digit whole numbers, using estimation, student-generated algorithms, and standard algorithms

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