Division is one of the basic operation of arithmetic. Division simply means splitting of a larger unit into equal parts or groups to obtain several small units. The basic form for division is [tex]\dfrac{a}{b\\}[/tex] where [tex]b \neq 0[/tex]. The numerator is called dividend, the denominator is called divisor.
Sometimes, a larger unit may not be fully divisible and there is some remainder left.
For the given question, dividend will be 641 yards, divisor is 3 yards , answer is 213 costumes and remainder is 2 yards.
To reach the above values, following calculation is required:
Given:
[tex]\begin{aligned} \rm Total\:material\:available &= 641\: \rm yards\\\rm Material\:required\:per\:costume &= 3\: \rm yards\\\end[/tex]
To calculate number of costumes and material left, total material will be divided by material required for each costume.
[tex]\begin{aligned} \rm Number\:of\:costume &=\dfrac{\rm Total\:material}{\rm Material\:required \:per\:costume} \\\\ &= \dfrac{641\: \rm yards}{3\: \rm yards}\\\\&= 213.67\\\\&=213\: \rm costumes \end[/tex]
Material required for 213 costumes is :
[tex]\begin{aligned} \rm Material\: required \:for \:213 \:costumes \:is\:213\times 3 &=639\: \rm yards\\\\\rm Material\:left \:is\: 641\:\rm yards - 639\: \rm yards &= 2\:\rm yards \end[/tex]
Since 641 is not fully divisible by 3, there will be some remainder.
On solving the above, number of costumes that can be made is 213 and 2 yards of material will be left.
Learn more about division here:
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