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Jul 31, 2024 · This quotient and remainder calculator helps you divide any number by an integer and calculate the result in the form of integers. In this article, we will explain to you how to use this tool and what are its limitations. We will also provide you with an example that will better illustrate its purpose.
Jun 23, 2024 · Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders, or practice your own long division problems and use this calculator to check your answers.
This tool is used to find the quotient and remainder of a division of two whole numbers Dividend and Divisor given by Dividend/Divisor = Quotient + Remainder/Divisor. FAQ. What is a quotient? In arithmetic, a quotient is the quantity produced by the division of two numbers. For example, (10/3) = 3. What is a remainder?
- A remainder is the integer left over after dividing one integer by another. For example, the remainder of 10/3 is 1.
- Input Dividend and Divisor and click Calculate Quotient and Remainder button. Please note you must input whole numbers on the form.
- Whole numbers are integers greater or equal to 0. For example:0, 7, 81, 3897 are all whole numbers, but 1/5, 6.78, 100.00001 are not whole numbers.
Calculate the quotient and remainder of a division problem using our remainder calculator, and learn the formula to calculate the remainder.
- Directions For Use
- Calculation Algorithm
- Long Division with Remainders Algorithm
- Calculation Examples
To use the division with the remainders calculator, enter Dividend and Divisor in the corresponding fields and press “Calculate.” The calculator will return the long division result as a quotient with remainder, mixed number, and mixed number in its simplest form. The solution algorithm will also be demonstrated.
You can perform long division with remainders or long division with decimals. Here we focus on the former – division with remainders.
The steps for performing the division are demonstrated in the text below. Let’s consider the division steps, as applied to the above example: 168 / 15.
Example 1
Patrick was given $150 for his birthday. He likes toy railways and wants to update his collection of trains. Each train costs $11. How many trains can Patrick buy? How much money will he have left? Solution To find the solution to this problem, we need to perform long division with remainders. The quotient part of the answer will represent the number of trains Patrick can buy, and the remainder will represent the amount of money he will have left. 150 / 11 = 13 R7. Answer Patrick can buy 13 t...
Example 2
Jane is filling up treat bags to bring to the class on her birthday. She has two big packages of Haribo bears, each with 65 pieces inside. Jane wants to put 8 bears in each treat bag. How many full treat bags can she make? If any bears are left over, Jane is allowed to eat them. Will there be anything for Jane to eat, and if yes, how many bears can she have? Solution To find the solution to the problem, we should perform long division with remainders. The quotient part of the answer will repr...
Free calculator that determines the quotient and remainder of a long division problem. It also provides the calculation steps as well as the result in both fraction and decimal form. home
Jan 4, 2022 · Place the remainder in the fraction as the numerator (or the top number). The next step is to place the divisor, or denominator, at the bottom, of the fraction. Multiply the quotient (or answer) by the divisor and then add the remainder to check your answer.
