# how do i do long division

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Long division is a method of solving a division problem by breaking it down into a series of smaller steps. It is a very useful skill to have, as it can be used to solve a variety of problems. In this article, we will discuss the basics of long division and how to do it.

First, let’s review the basics of division. In a division problem, you are trying to find the number of times one number (the dividend) is contained in another number (the divisor). The answer to the division problem is called the quotient. For example, if you are trying to divide 12 by 4, the dividend is 12 and the divisor is 4. The answer to the problem is 3, because 4 goes into 12 three times.

Now that we have reviewed the basics of division, let’s discuss how to do long division. The first step in long division is to write the dividend and divisor in a long division format. To do this, write the dividend on the top line, followed by a division symbol (÷), and then write the divisor on the bottom line.

The next step is to divide the first digit of the dividend by the divisor. This number (the quotient) is written on the top line, just to the right of the dividend. Then, multiply the divisor by the quotient and subtract this number from the dividend. The result of this subtraction is written on the second line, below the dividend.

The process is then repeated for the remaining digits in the dividend. The quotient is written on the top line and multiplied by the divisor. The result is then subtracted from the remaining digits in the dividend. The result of this subtraction is written on the second line. This process is repeated until there are no more digits in the dividend. The last number written on the second line is the remainder.

For example, let’s try to divide 1234 by 3. First, we write the dividend and divisor in a long division format:

1234 ÷ 3

Next, we divide the first digit (1) of the dividend by the divisor (3). The quotient is 0, so we write 0 on the top line, just to the right of the dividend. Then, we multiply the divisor by the quotient (0 x 3 = 0) and subtract this number from the dividend (1234 – 0 = 1234). The result of this subtraction is written on the second line, below the dividend.

Next, we divide the second digit (2) of the dividend by the divisor (3). The quotient is 6, so we write 6 on the top line, just to the right of the dividend. Then, we multiply the divisor by the quotient (6 x 3 = 18) and subtract this number from the remaining digits in the dividend (1234 – 18 = 1216). The result of this subtraction is written on the second line.

Finally, we divide the third and fourth digits (34) of the dividend by the divisor (3). The quotient is 11, so we write 11 on the top line, just to the right of the dividend. Then, we multiply the divisor by the quotient (11 x 3 = 33) and subtract this number from the remaining digits in the dividend (1216 – 33 = 1183). The result of this subtraction is written on the second line.

The last number written on the second line is the remainder. In this example, the remainder is 1183. Therefore, the answer to the division problem is 411, with a remainder of 1183.

Long division can be a difficult concept to understand, but it is a very useful skill to have. Once you understand the basics of long division, you will be able to solve a variety of division problems. With practice, you will soon be able to do long division with ease.

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