Long Division Calculator with steps
Long Division Calculator
Solution step by step
The Long Division Calculator with steps that we present here is an excellent tool for calculating long division with remainders and decimals.
To use the Long division Calculator follow these steps:
- Enter the dividend into the calculator
- Then enter the divisor
- Select the “remainder” option to perform long division with remainder, or select the “decimal” option to perform long division with decimals. Keep in mind that to calculate a long division with a remainder, the divisor must be less than or equal to the dividend.
- Finally, press the “Calculate” button to get the solution.
What is a long division?
The long division method, also known as the standard algorithm, is an algorithm that allows us to divide any two numbers. This technique consists in performing sequentially small operations of division, multiplication and subtraction.
How to do long division step by step
Long division with remainders
The steps to do long division with remainders are presented below:
- The first step is to set up the division as shown in the following image:
- Determine the number of times the divisor fits into the leftmost digit of the dividend. Then we write that number on the line above the dividend. But if that number is zero, you must repeat this step but with the two leftmost digits of the dividend.
- Then multiply the divisor by the number you have placed on the line above the dividend and subtract the product from the leftmost digits of the dividend.
- Do the previous subtraction and put the answer below.
- Place the next digit of the dividend to the right of the result of the subtraction from the previous step.
- Repeat the previous steps until you get a remainder. This can be zero or be a number less than the divisor.
Example of long division with remainders: 50÷15
This example was generated using the long division calculator with remainders.
Long division with decimals
To do long division with decimals, you must apply the following rules:
- If the decimal is only in the dividend, perform the steps of regular long division, ignoring the decimal point. Once you have your answer, move the decimal point directly up from the dividend to the quotient.
- If the decimal is in the divisor, or both the divisor and the dividend are decimals, move the decimal point in the divisor to the right to make it a whole number, and also move the decimal point in the dividend the same number of spaces to the right. Solve using regular long division.
Example of long division with decimals: 500÷2.5
This example was generated using the long division with decimals.