NZ Level 4
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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   7 2 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

NA4-1

Use a range of multiplicative strategies when operating on whole numbers

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