Long Division to Decimal Places

Introduction to Long Division to Decimal Places

Long division is the process of dividing large numbers into steps or parts, dividing the problem into a sequence of easier steps. Long division to decimal is similar to the long division to whole numbers, except for the way we manage the decimal point. The secret to performing long division to decimal places is to add zeros after the decimal point. For example, 140 is the same as 140.00. We can include as many zeroes as we wish after the decimal point without changing the value of the number. 

Let us learn more about how to do the long division with decimals by reading the content given below, which enables us to understand better.


Long Division to Decimal Steps

Long division to decimal can be easily done just as the normal long division. The following steps explain how to do long division with decimal points.  

Step 1: The first step is to write the number in standard form. Start by dividing the whole number part by the given divisor

Step 2: Place the decimal point in the quotient above the decimal point of the dividend. Bring down the tenth digit for continuing the further division process.

Step 3:  Divide and bring down the other digits such as hundredths, thousandth, etc in a sequence. Divide until you get the 0 in the remainder. Hence, you will find the same number of decimal points are placed in the quotient as in the dividend  



Long Division to Decimal When Divisor is Not a Whole Number

The following steps with example explain long division to decimal when the divisor  is not a whole number:

Divide 16.9 by 6.5

1. As the divisor is not a whole number, we will move the decimal point to the right side to convert it into a whole number and also move the decimal point in the dividend one place to the right as shown below.


                        

2. Divide usually as a whole number. The divisor 65 goes into the dividend 139, 2 time(s), with 39 left as a remainder. 



3. To continue the division process, add zero to the right of the decimal point in the dividend. Further, bring down the 0 and place it to the end of 39, making it 390.



4. 65 goes into the 390, six times with a remainder of 0. We will write 6 in the quotient just above the zero and place the decimal point in the quotient above the decimal point of the dividend as shown below.



Hence, 16.9 when divided by 6.5 gives a quotient of 2.6 and remainder 0.


Long Division 3 Examples With Solutions 

1. Hitesh Wants to Know the Long Division Steps that Need to be Followed to Obtain the Result of 1.683  ÷ 0.09. Can You Help Him to Find the Result? 

Solution:

Following are the steps that Hitesh needs to follow to get a result of 1.683  ÷ 0.09.

First, the divisor will be converted into the whole number by multiplying the divisor by 100 (0.09 100 = 9). Further, we will also multiply the dividend by 100 (1.683 100 = 168.3)  to get the decimal point in the same number of places. 

Now, the division will be performed in the following way:



Hence, 168.3 0.09 = 18.7

2. Ronak Distributed 75 Chocolates Among 3 of his Friends. How Many Chocolates Did he Distribute to Each Friend?

Solution:

Total Number of Chocolates = 75

Number of Friends = 3

To find the number of chocolates distributed to each friend, we have to divide 75 by 3 because an equal number of chocolates are distributed to each friend. 



Hence, the number of chocolates distributed to each friend is 25.

FAQs (Frequently Asked Questions)

1. What is Known as the Long Division Symbol?

Ans. In long division process, the divisor is separated by the vertical bar ⟨|⟩, or right parentheses ⟨)⟩, whereas the quotient is separated by the vinculum that is an overbar. The combination of these two symbols is known as division brackets or long division symbols.

2. What is the Process of a Long Division Method?

Ans. The process of a long division begins by dividing the leftmost digit of the dividend by the divisor. Further, the quotient (rounded to an integer) becomes the first digit of the results obtained from the previous step, and the remainder is calculated (this step is considered subtraction). The remainder is brought down and the same division process repeats on the remaining digits of the dividend.  When all the digits of the dividend have been processed and the remainder left is 0, the process completes.  

3. What are the Different Terms that are Frequently Used in the Long Division?

Ans. The different terms that are frequently used in the long division are divisor, dividend, quotient, and remainder. The number which gets divided is known as a dividend, The number by which we divide is known as the divisor. The result that is obtained is known as quotient. The number that is left over is known as the remainder. 

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