Long Division Definitions and Examples

Long division is a math process used to divide large numbers. It’s one of the more difficult concepts to grasp for young students, but once you understand the steps involved, it’s not so bad. This blog post will provide long division definitions and examples to help you understand this process.

What is Long Division Method?

The long division method is a step-by-step process for finding the quotient of two numbers. It is also sometimes called the standard division algorithm. To use the long division method, you will need to be familiar with basic multiplication and division facts. The long division method is used when the divisor is a multiple of the dividend, and there is no remainder.

To begin, write down the dividend and divisor as follows:

Next, divide the divisor into the first digit of the dividend (in this case, 2). Write the result above the line next to the first digit of the dividend, with a fraction bar over it:

Bring down the second digit of the dividend (in this case, 7), and place it next to what you have so far:

Divide 48 by 2 to get 24. Write 24 above and to the right of 27 like so:

Now that you have your first partial quotient figured out, bring down the next digit in the dividend (the 3). You should now have this:

Since 2 goes into 3 once with a remainder of 1, write 1 above and to the right of 3 like so:

Bring down the final digit in our example’s dividend (4), and add it to what you have so far:

Now we divide 24 by 2 again to get 12 for our final partial quotient. Write 12 above and to right

Parts of Long Division

Long division is a process for finding the quotient of two numbers. It’s similar to regular division, but with a few extra steps. In long division, you divide the dividend (the number being divided) by the divisor (the number you’re dividing by). This gives you the quotient (the answer), as well as the remainder (what’s left over after division).

To do long division, you’ll need to know your multiplication facts and have some patience! The good news is that once you understand the process, it’s not difficult. Just follow these steps:

1. Write down the dividend and divisor.
2. Divide the first digit of the dividend by the divisor, and write down the result above the dividend. If the result is a whole number, write it to the right of the previous result. If not, write it above the next digit of the dividend.
3. Multiply the divisor by the result from step 2, and write this below the dividend.
4. Subtract this product from step 3 from what’s under the line in step 2. Write this difference below the line in step 2 .If what you wrote in step 4 is a negative number, put a minus sign (-) in front of it when you write it down .If what you wrote in step 4 is zero or positive , don’t put any sign in front of it when you write

How to do Long Division?

Long division is a process for dividing one number by another. In long division, the divisor (the number being divided into) is written above the dividend (the number being divided), and a line is drawn under both numbers. The first step in long division is to determine how many times the divisor goes into the first digit of the dividend. This number is written above the line to the left of the dividend, and it becomes the first digit in the answer. The second step is to multiply this number by the divisor and write the result below the line to the right of the dividend. The third step is to subtract this product from the dividend, and write the result below

To do long division, you’ll need a few things: paper, pencil, and a calculator (optional). First, you’ll want to set up your equation. Write down the dividend (the number you’re dividing) on one line with a blank space underneath it. On the other side of that line, write down your divisor (the number you’re dividing by) with a forward slash (/). Now draw a horizontal line under both numbers so it looks like this:

Next, you’ll want to start with basic division. To do this, divide your divisor into your first digit in your dividend until you get an answer that’s less than your divisor. Write this answer above your horizontal line next to where you started dividing. For example

Long Division Steps

Long division is a process of dividing two numbers in which the divisor is a whole number and the quotient is a rational number. There are three steps in long division:

1) Dividing the dividend by the divisor to find the quotient.
2) Multiplying the divisor by the quotient to find the product.
3) Subtracting the product from the dividend to find the remainder.

Long division is a way of dividing large numbers

When you divide a large number by another number, you are essentially finding out how many times the second number goes into the first. Long division is a method of divide in which you write out the division problem in long form, with the dividend above the line and the divisor to the left of the line. You then divide, bringing down digits from the dividend one at a time until you have used up all of the digits in the dividend. At this point, you will have either reached a final answer or you will have a remainder.

For example, let’s say we want to divide 100 by 10 using long division. We would write it out as follows:

100|10
——|
10|
——|
0

As you can see, we divided 10 into 100 and brought down a zero to get our answer of 10 with a remainder of zero.

Long division is typically taught in elementary or middle school

Long division is a standard algorithm used to divide two numbers. It is typically taught to students in elementary or middle school as part of their mathematics curriculum.

To perform long division, the divisor (the number being divided into) is written above the dividend (the number being divided). A line is then drawn under the dividend. The first digit of the dividend is divided by the divisor, and the result is written above the line with a decimal point. The process is then repeated with the second digit of the dividend, and so on until all digits in the dividend have been divided.

For example, to divide 23 by 5, we would write:

5 ) 23
– 5 = 3 remainder 2
20 – 10 = 1
15 – 10 = 0
—
2

There are different methods of long division, but the most common is the standard algorithm

Different methods of long division exist, but the most common is the standard algorithm. This method is usually taught in schools. To perform the standard algorithm, one needs to divide the dividend (the number being divided) by the divisor (the number dividing the other number). The answer will have a quotient (the answer to the division problem) and a remainder (what is left over after division has occurred).

The standard algorithm for long division is as follows:

The standard algorithm for long division is as follows:

1.Start by dividing the large number by the small number. This will give you the first digit of the answer (also called the quotient).
2.Multiply the small number by the first digit of the answer, and subtract this from the large number. This will leave you with a new large number.
3.Bring down the next digit of the large number (this is called the “divisor”).
4.Repeat steps 1-3 until you have brought down all of the digits of the large number. The final answer will be the quotient, with any remaining digits as the remainder.

There are also other methods of long division, such as the partial quotients method and the synthetic division method

Partial Quotients Method

The partial quotients method is a variation of the standard long division algorithm. Instead of dividing the dividend by the divisor and finding the quotient, you divide the dividend by a series of smaller numbers that are called partial quotients. The final quotient is the product of all the partial quotients.

To use the partial quotients method, divide the dividend by the first partial quotient. Write down the answer below the dividend. Then divide the last answer by the second partial quotient and write down the answer below that. Repeat this process until you have divided by all of the partial quotients and arrive at a final answer.

Here’s an example:

Divide 97 by 6 using partial quotients.

First, divide 97 by 2 to get 48½. Write 48½ below 97 and 2 next to it like this:

97|2)48.5 (We write a decimal point after 48 to show that it’s not done yet.)
––––––
2 )97 (Bring down the zero from 972 to make 970.)

Now divide 970 by 3 to get 323? . Write 323? below 48½ and 3 next to it like this:

97|2)48.5
––––––
32 )970 (Bring down another zero

Examples of long division

In long division, the divisor is written outside of the dividend, to the left. The number of digits in the divisor indicates how many digits will be in each group in the quotient. For example, if there are three digits in the divisor, there will be three digits in each group in the quotient.

The first digit in the dividend is divided by the first digit in the divisor, and the answer is written above the dividend. The second digit in the dividend is combined with the answer from step one, and that number is divided by the second digit in the divisor. The answer is written above to the right of step one’s answer. This process repeats until every digit inthe dividend has been divided.

If at any point during long division there is a remainder when dividing, that remainder will be written as a fraction overthe last digit ofthe divisor used. For example, if when dividing 98 by 6 there is a remainder of 2, then 2 would be written as a fraction over 6 like this: 98/6 = 16 2/6.

Conclusion

Long division is a process of dividing two numbers where the divisor is greater than the dividend. This article has provided you with long division definitions and examples to help you better understand this concept. In addition, we have also included a few tips on how to perform long division so that you can calculate accurate results. We hope that this article has been helpful and that you will be able to use long division confidently in the future.