When we divide a number by another number, we will have the terms dividend, divisor, quotient and remainder.
The sum of the product of quotient & divisor and remainder is equal to dividend.
Dividend = Quotient x Divisor + Remainder
The number which we divide is called the dividend.
The number by which we divide is called the divisor.
The result obtained is called the quotient.
The number left over is called the remainder.
Example 1 :
Divide 300 by 7 and write division algorithm.
Solution :
Use long division to divide 300 by 7.
From the above long division,
dividend = 300
divisor = 7
quotient = 42
remainder = 6
Division algorithm :
300 = 42 x 7 + 6
When a whole number is divided by a fraction, keep the whole number as it is, change the division as multiplication and take reciprocal of the fraction.
Example 2 :
Divide 20 by 4/5.
Solution :
20 ÷ 4/5 :
= 20 x 5/4
= 5 x 5/1
= 25
When a whole number is divided by a mixed number, change the mixed number to an improper fraction and do the same procedure as explained in dividing whole numbers by fractions.
Example 3 :
Divide 26 by 2 3/5.
Solution :
26 ÷ 2 3/5 :
= 26 ÷ 13/5
= 26 x 5/13
= 2 x 5/1
= 10
When a whole number is divided by a decimal, change the decimal to a fraction and do the same procedure as explained in dividing whole numbers by fractions.
How to convert a decimal to a fraction :
If there is one digit after the decimal point, we can write the given decimal number as a fraction by taking denominator 10. If there are two digits after the decimal point, we can write the given decimal number as a fraction by taking denominator 100 and so on.
Example 4 :
Divide 25 by 0.5.
Solution :
25 ÷ 0.5 :
= 25 ÷ 5/10
= 25 ÷ 1/2
= 25 x 2/1
= 50
Example 5 :
Divide 39 by 0.26.
Solution :
39 ÷ 0.26 :
= 39 ÷ 26/100
= 39 ÷ 13/50
= 39 x 50/13
= 3 x 50/1
= 150
Example 6 :
Divide 7 by 0.02.
Solution :
7 ÷ 0.02 :
= 7 ÷ 2/100
= 7 ÷ 1/50
= 7 x 50/1
= 350
Example 7 :
One pizza can be made in 3/4 hours. How many pizzas can be made in 1 day (24 hours) ?
Solution :
Number of pizzas can be made in 1 day (24 hours) :
= 24 ÷ 3/4
= 24 x 4/3
= 8 x 4/1
= 32
Example 8 :
David can read 5 pages of a book in 10 minutes. How many hours does he need to read the whole book, if the book has 360 pages?
Solution :
Given : David can read 5 pages in 30 minutes.
Number of pages read in 1 hour :
= 5 x 6
= 30 pages
Time taken to read 360 pages :
= 360/30
= 12 hours
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