Division is a common mathematical operation that reverses process of multiplication. In division, the number that's being divided is known as the dividend, the number it's being divided by is the divisor, and the answer is the quotient. It is most commonly signified using either a division sign (÷) or a forward slash (/). There are multiple methods for solving division problems but the most common one is long division. This is also the way this calculator shows its work. The in-depth explanation explains how to solve division problems using this method.
To solve division problems using long division, you must following some guidelines. First, arrange the two values so divisor is shown first with the dividend coming next surrounded by line on the left and top. Then divide the first digit of the dividend by the divisor. The whole number result, which is the result rounded down to the nearest integer, is then placed on top of the dividend's top line. If the whole number result if 0 and you have not yet placed any nonzero values on top, this 0 is just a spaceholder and can therefore be replaced with a space for legibility. You must then multiply the whole number result by the divisor. Afterwards, subtract the first digit of the dividend by the product of the last step. Next bring down the second digit of the dividend and add the digit to the difference. When we say "add the digit", we mean add the number rather than the value. For example, when you bring down a 2 and "add the digit" to the difference of 36, make the result 362 rather than 38. Repeat the preceding steps until the result of the very last repeated step is 0 or until you feel you an accurate enough answer (this calculator calculates up to five decimal places) with a few exceptions. First, you don't need to keep arranging the divisor and dividend, this is only required during the first repetition. In addition, rather than dividing the first digit of the dividend by the divisor, you must divide the result of the very last repeated step by the divisor. Finally, rather than bringing down the second digit of the dividend every time, you must take down the digit of number of times you repeated the process plus one. For example, if you were on your fourth repetition of the steps, you would bring down the fifth digit of the dividend. This can cause problems, however. For example, if there were only four digits in the dividend and you were supposed to bring down the fifth digit in the dividend, there would be no way to completely solve the problem. If you come across this situation, add a 0 the end of the number, adding a decimal sign beforehand if necessary. That is how to solve division problems using long division.
To fully understand this concept, it is important to utilize your knowledge through problems. Rather than creating your own, you can simply use some of the ones from our collection of division problems below. They are categorized into three different categories: easy, medium, and hard. It is recommended you begin with the easy problems and work your way up from there. If you are having difficulties solving any of the problems, you may use our division calculator which will calculate the answer and provide steps on how the problem was solved. You may also use the calculator to check you got the correct answer.