How to do Long Division Definitions and Examples

Introduction

Long division is a method of division in which you divide a number into smaller parts, or digits, and then divide those digits into even smaller parts. It’s a way of breaking down a number so that it’s easier to solve. For example, let’s say you want to divide 100 by 10. You could do this by simply putting a zero after the one in the answer, but that would give you an answer of 10 (1.0). If you want to be more precise, you can use long division to get an answer of 10.2. In this blog post, we will show you how to do long division, with definitions and examples to help you along the way.

What is Long Division Method?

When doing long division, there are a few different methods that can be used. The most common method is the standard algorithm, which is what most people think of when they hear the term “long division.” However, there are other methods that can be used, such as the distributive property and the synthetic division.

The standard algorithm for long division is as follows:

1. Write down the dividend (the number being divided) and the divisor (the number you’re dividing by).

2. Divide the first digit of the dividend by the divisor, and write down the result above the dividend. This will be the first digit in your answer (also called the quotient).

3. Multiply the divisor by this first digit in the quotient, and write this product below the dividend. Subtract this product from the original dividend.

4. Bring down the next digit in the dividend (to become the new first digit), and repeat steps 2-4 until there are no more digits in the dividend. The final answer will be whatever is left in both places after you finish subtracting (this will either be zero or a whole number).

Parts of Long Division

When doing long division, there are a few key steps to follow in order to arrive at the correct answer. First, you must determine the dividend and divisor. The dividend is the number being divided, and the divisor is the number you’re dividing by.

Next, you will need to divide the dividend by the divisor. This will give you the quotient, which is the answer to the division problem.

In some cases, you may also have a remainder. This is the number left over after division has occurred. To calculate the remainder, simply take the quotient and multiply it by the divisor. Subtract this product from the original dividend.

For example, let’s say we want to divide 24 by 6. We would first determine that 24 is the dividend and 6 is the divisor. Then, we would divide 24 by 6 to get a quotient of 4. Finally, we would take 4 (the quotient) and multiply it by 6 (the divisor). When we subtract this product from 24 (the dividend), we are left with a remainder of 0. Therefore, our final answer would be 4 with a remainder of 0, or simply 4.

How to do Long Division?

How to do Long Division

When you divide one number by another, the answer is called the quotient. The number you are dividing by is called the divisor, and the number you are dividing into is called the dividend.

To find the quotient, divide the dividend by the divisor. You will need to use what is called “long division” when the divisor is a two-digit number or larger. This can seem tricky at first, but with a little practice it will become second nature!

Here’s an example: Divide 97 by 6.

The first thing you want to do is write down your problem so that it looks like this:

97 ÷ 6

Then, bring down the next digit of the dividend, which would be 9 in this case:

97÷6 9

Next, figure out how many times 6 goes into 9. Since 6 times 1 equals 6 and 6 times 2 equals 12 (which is too big), we know that 6 times 1 must be our answer. So write a 1 above the division symbol and draw a line under both digits of 9 like this:

1 97÷6 9
——
6|9
3 (the remainder)

Long Division Steps

Long division is a process of dividing one number by another. The number being divided is called the dividend, while the number that divides the dividend is called the divisor.

In long division, the divisor is usually placed outside of the dividend, to the left. The first step is to determine how many times the divisor goes into the first digit of the dividend. This number is called the quotient. The next step is to multiply the divisor by the quotient and subtract this product from the dividend.

The remainder is then brought down to become the new dividend, and the process is repeated until there are no more digits in the dividend. The final answer will be the quotient, with any remainder written as a decimal or as a fraction.

For example, let’s say we want to divide 27 by 3. We would write:

27|3
—
9 (3*9=27)
18 (3*6=18) <– notice that we bring down the 2 from 27 to become our new dividend
9 <– our final answer is 9, with a remainder of 0

Division with Remainders

When you divide one number by another, the result is called the quotient. The number left over after division is called the remainder.

To divide with remainders, follow these steps:

1. Divide the dividend (the number being divided) by the divisor (the number you’re dividing by).
2. Write down the quotient (the answer to step 1).
3. Multiply the divisor by the quotient from step 2. Subtract this product from the dividend.
4. Bring down the next digit of the dividend (to the right of what you just subtracted) and repeat steps 1-3 until there are no more digits in the dividend.
5. The final remainder is your answer. Write it below the last digit of the dividend with a r above it like this:xyzr

Division without Remainder

In mathematics, long division is a standard algorithm for dividing two numbers that produces a whole number quotient with a remainder. It is taught to students in primary school as an introductory exercise in arithmetic, and is considered one of the easiest methods of division. Long division can be used to divide numbers of any size, including decimals, though it is most commonly used with integers.

To execute long division, the divisor (known as the “dividend”) is written above the dividend (the number being divided), with a line under both numbers. The first step is to determine how many times the divisor goes into the first digit of the dividend; this number is written on the line below the dividend, directly to the left of where the line intersects it. The next step is to multiply this number by the divisor and write the result under the line, directly below where the multiplication was written. This process is then repeated for each subsequent digit in the dividend until all digits have been considered. The final answer consists of two parts: The quotient, which is everything that has been written on the lines below (without the remainders), and the remainder, which is everything that has been crossed out in each step (including any leftover digits in the final step).

For example, consider dividing 123 by 4. In long division, this would be executed as follows:

The quotient here is 30 with a remainder of 3

Long Division of Polynomials

In mathematics, long division is a technique for dividing one number by another, where the divisor (the number being divided into) is a polynomial with a degree greater than or equal to 2. For example, the expression “x3 + 4×2 + 5x ? 2” can be rewritten as “(x2 + 5x ? 2) / (x + 2)”, which is in fact its most simplified form. This technique can be used to divide any polynomial by another, using the same process as for regular long division.

Long Division with Decimals

If you need to divide a number with a decimal by another number, you can use long division. Long division with decimals works the same way as regular long division, except that you place the decimal point in the dividend (the number you’re dividing) directly above the decimal point in the divisor (the number you’re dividing by). Then, you divide as usual, bringing the decimal point down into the quotient (the answer) when you’re finished.

Here’s an example:

Dividend: 12.4
Divisor: 3

To set up this problem, we place the decimal points directly above each other and draw a line under the dividend:

12.4
3 ____

Then, we divide as usual. We bring down the first digit of the dividend (1), and since 3 goes into 1 zero times, we write 0 above the line to the right of 1:
0
12.4
3 ____
1 goes into 2 once, so we write 1 above the line to the right of 2:

1
12.4 3_____ 2 goes into 4 twice, so we write 2 above line to right of 4:

12 0 3_____ Now we subtract: 0 – 3 = -3 and bring down next digit of

Long Division Tips and Tricks

When it comes to long division, there are a few things you can do to make the process easier. First, it’s important to understand the definition of long division. Long division is a method of dividing large numbers by smaller numbers. It’s typically used when dividing large numbers by numbers that are not easily divided in your head.

Once you have a firm understanding of the definition, it’s time to learn some tips and tricks. These will help you work through long division problems more quickly and easily.

One helpful tip is to write out the problem in long form. This means writing out the dividend (the number being divided), the divisor (the number you’re dividing by), and the current quotient (the answer to the division problem). This can help you keep track of where you are in the problem and make sure you’re doing thedivision correctly.

Another helpful tip is to use estimation when working through long division problems. This means rounding up or down to make the division easier. For example, if you’re dividing 100 by 9, you can round up to 110 and divide 10 by 9 instead. This will give you a close estimate of the final answer.

Finally, don’t be afraid to ask for help if you’re struggling with long division. There’s no shame in admitting that this type of math can be difficult. Talk to a friend or family member who is good at math, or look up tutorials online. With a little practice

Conclusion

Long division is a method of solving division problems when the divisor is a multiple of 10. It is also a good way to check your work when doing mental math. Long division can be used to divide any number, but it is most often used with large numbers. To do long division, you will need paper, pencil, and a calculator.