Tuesday, March 12, 2013

What is a Quotient in Math

Introduction to what is a quotient in math:-

In mathematics, a quotient is the result of a division. For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor. The quotient can also be expressed as the number of times the divisor divides into the dividend.Let us see about some example problems about division.(Source : Wikipedia)


Example problems for what is a quotient in math:-


Problem 1:-

Solve 427÷13 by using long division method.

Solution:-

In the following Step by step process of how to divide

Step 1:-

-------
13| 427

In the above equation 13 is divisor and 427 is dividend. In the divisor has two decimal numbers put the value dividend of 42.

Step 2:-

3
-------
13| 427
39
---------
37

In 13 x 3 = 39 the divisor number 13 is multiplied with 3 to get an answer 39. In 37 is less than from 42.So use the value then subtract the value and get 37.

Step 3:-

32
-------
13| 427
39
---------
37
26
----------
11

In 13 x 2 = 26 the divisor number 13 is multiplied with 2 to get an answer 26. In 26 is less than from 37.So use the value then subtract the value and get 11.

Step 4:-

32.8
-------
13| 427
39
---------
37
26
----------
110
104
----------
6

The value 11 has no more value in the right side. So put 0 to get 110 and put decimal point on the quotient. Then normal division 13 x 8 = 104 the divisor number 13 is multiplied with 8 to get an answer 104. In 104 is less than from 110.So use the value then subtract the value again we get 6.

Step 5:-

32.84  --------> (Quotient)
-------
13| 427
39
---------
37
26
----------
110
104
----------
60
52
------------
8 (continued)

Repeat the step again the value 6 have no more value in the right side. So put 0 to get 60 and put decimal point on the quotient. In math normal division 13 x 4 = 52 the divisor number 13 is multiplied with 4 to get an answer 52. In 52 is less than from 60.So use the value then subtract the value again we get 8. Finally we get the quotient 32.84.


Problem 2:-

Solve 325÷15 by using long division method.

Solution:-

In the following Step by step process of how to divide

Step 1:-

______
15| 325

In the above equation 15 is divisor and 325 is dividend. In the divisor has two decimal numbers put the value dividend of 32.

Step 2:-

2
-------
15| 325
30
----------
25

In 15 x 2 = 30 the divisor number 15 is multiplied with 2 to get an answer 30. In 30 is less than from 32.So use the value then subtract the value and get 25.

Step 3:-

21
-------
15| 325
30
---------
25
15
----------
10

In 15 x 1 = 15 the divisor number 15 is multiplied with 1 to get an answer 15. In 15 is less than from 32.So use the value then subtract the value and get 10.

Step 4:-

21.6
---------
15| 325
30
---------
25
15
----------
100
90
----------
100

The value 10 has no more value in the right side. So put 0 to get 100 and put decimal point on the quotient. In math normal division 15 x 6 = 90 the divisor number 15 is multiplied with 6 to get an answer 90. In 90 is less than from 100.So use the value then subtract the value again we get 10.

Step 4:-

21.66  --------> (Quotient)
-------
15| 325
30
---------
25
15
----------
100
90
----------
100
90
-----------
10  (continued)

Repeat the step again the value 10 have no more value in the right side. So put 0 to get 100 and put decimal point on the quotient. Then normal division 15 x 6 = 90 the divisor number 15 is multiplied with 6 to get an answer 90. In 90 is less than from 100.So use the value then subtract the value again we get 10. Finally we get the quotient is 21.66.

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Practice problem for what is a quotient in math:-


Problem 1:-

Solve 524÷12 by using long division method.

Answer: - 43.66

Problem 2:-

Solve 33÷7 by using long division method

Answer: - 4.714

Problem 3:-

Solve 63÷3 by using long division method

Answer: - 21

Problem 4:-

Solve 86÷4 by using long division method

Answer: - 21.5

Problem 5:-

Solve 210÷6 by using long division method

Answer: - 35

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