Long Division Calculator | How to do Long Division With Remainders easily - OnlineCalculator.Guru (2024)

Long division calculator displays the whole work for dividing the dividend by the divisor resulting in the quotient in less time. Simply put the dividend and divisor values in the input field and click on the calculate button provided next to the input box.

Long Division Calculator: Trying to do division for long numbers and don't know how to do proper calculations in an easy manner. Then, we are here with you to assist in performing a long division method with an instant long division calculator. This long division tool helps you understand how to do long division with integers or decimals. This calculator also aids you out to do a long division with decimals or remainders. Want to learn more about the long division calculator then go with the below sections and get the complete details in detail.

What is meant by Long Division?

The long division method includes basic math operations. In order to find the division of two numbers using this method, a tableau is drawn. The divisor is written outside the right parenthesis, while the dividend is placed within. The quotient is written above the line on top of the dividend. If you want to learn how to do long division for a fraction or given numbers with long division method, please keep on reading.

Procedure for Division of Numbers using Long Division Method

In order to calculate the division for two numbers easily, one should know the process very well and must apply the steps properly. So, to master the division of numbers using the long division method, we have provided the detailed process here along with a solved example.

Long division with remainders has never been so simple! So accept it as a challenge and solve the problem on your own by referring to the below steps.

  1. To find the result which is the ratio of two numbers i.e, dividend and divisor we use the long division method.
  2. First, you need to identify the dividend and divisor and then use those values in the long division.
  3. In the given fraction numerator will be the dividend and denominator will be the divisor. Outline the dividend and divisor in the form of long division.
  4. Probably, you have to add a decimal and zeros if the dividend is smaller than the divisor. Continue long division until you get the proper result for the given numbers. It will give the remainder in both the whole number or in a decimal format.
  5. The result can be written in many ways as a quotient and a remainder, a fraction, and a decimal converted from the fraction.

For a better understanding of the long division method, we have provided the worked-out example for a division of numbers using the long division method. Refer to the below example and learn the step by step process of solving long division.


Calculate division for 678/35 using a long division method?


In the given input 678/35, 678 is the numerator i.e. dividend and 35 is the denominator i.e. divisor. As the dividend is greater than the divisor you can proceed with the long division process and get the result as such

Long Division Calculator | How to do Long Division With Remainders easily - OnlineCalculator.Guru (1)

Therefore, the Quotient is 19 and the Remainder is 13.

Instructions to use Long Division Calculator

Here are the simple steps that you should follow while using the long division calculator with remainders or decimals. Just have a look at them and learn how to use this long division method calculator to calculate lengthy division problems and get the quotient and remainders in a fraction of seconds.

  1. First of all, enter the input dividend and divisor values in the input box provided on the screen.
  2. Next, click on the Arrow symbol button beside the input field.
  3. Now, it will find the quotient of the division and display an interactive, step-by-step illustration of the long division.

Make all your math problems easier and faster with our Onlinecalculator.guru site provided free online calculators for various mathematical & statistical concepts.

Long Division Calculator | How to do Long Division With Remainders easily - OnlineCalculator.Guru (2)

FAQs on Long Division Calculator with Remainders

1. What is Long Division with Remainders?

A long division with remainders is a method for dividing multidigit numbers by hand. It splits the division into a series of simpler steps. One number, called the dividend is divided by another number called the divisor and gives the result as quotient and remainder.

2. What is Quotient in Long Division?

The quotient is the outcome of dividing one number by another using a long division method.

3. What is Remainder in the division?

The remainder is the left out value after multiplying the whole number portion of the quotient by the divisor and then subtracting that result from the dividend.

4. How do you do long division easily by hand?

Simply refer to the above-mentioned steps on how to do long division and follow them correctly to calculate the long divisions by hand. Or else, use our free online Long Division Calculator with or without Remainder and get the outcome within no time.

Long Division Calculator | How to do Long Division With Remainders easily - OnlineCalculator.Guru (2024)


How can I calculate my division? ›

Long Division Steps
  1. Step 1: Take the first digit of the dividend from the left. ...
  2. Step 2: Then divide it by the divisor and write the answer on top as the quotient.
  3. Step 3: Subtract the result from the digit and write the difference below.
  4. Step 4: Bring down the next digit of the dividend (if present).

How to show work for division? ›

On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. The quotient (answer) will eventually go on top, right above the dividend.

What is 4 divided by 64 in long division? ›

We write 644 in the long division format. Therefore, 64÷4=16 with a remainder of 0 .

What is the remainder calculator? ›

Remainder Calculator is a free online tool that displays the remainder of the division process.

How much is 76 divided by 6 with remainder? ›

The result of division of 76÷6 76 ÷ 6 is 12 with a remainder of 4 .

How to calculate long division step by step? ›

How to Do Long Division in Simple Steps
  1. Set up the problem. Write the dividend (845) under the division bar and the divisor (3) outside the bar.
  2. Divide. ...
  3. Multiply. ...
  4. Subtract. ...
  5. Bring down the next digit. ...
  6. Repeat the steps. ...
  7. The final answer with a remainder. ...
  8. Convert the remainder to decimal form.
Feb 6, 2024

What is the easy division trick for large numbers? ›

Another useful technique to divide large numbers mentally is to use halving and doubling, which is based on the fact that dividing by 2 is the same as multiplying by 0.5, and vice versa. For example, if you want to divide 720 by 24, you can halve both numbers until you get an easier division.

How to explain division to a 7 year old? ›

Division by grouping

Ask your child to find out how many there are in a group of toys or pieces of fruit. Explain to them that you want to find out how many groups of two there are in the total group. Help your child to take two items at a time and count how many groups of two there are in the total number.

What is the divided symbol? ›

The symbol for division, or sharing into equal groups, is ÷. It's called the division symbol.

Why does long division work? ›

In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals (Positional notation) that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps.

What is 28 divided by blank equals 4? ›

Basic Division in Mathematics

In some cases, like 28 divided by 7, we end up with a whole number (28/7 = 4).

What is 5 multiply 16? ›

The result of 16⋅5 16 ⋅ 5 is 80 .

How do you solve a remainder equation? ›

The remainder theorem says "when a polynomial p(x) is divided by a linear polynomial whose zero is x = k, the remainder is given by p(k)". The basic formula to check the division is: Dividend = (Divisor × Quotient) + Remainder. The remainder theorem does not work when the divisor is not linear.

How much is 106 divided by 6 with remainder? ›

Therefore, 106 divided by 6 equals 17 with a remainder of 4.

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