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Long division calculator performs long division with remainders. Demonstrates solution with steps, and answer as quotient and remainder and as mixed number.
17÷3 = 5 R 2 = 5 2/3
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This long division calculator performs long division with remainders. It divides one of the given numbers (dividend) with another number (divisor) and presents the answer in terms of a whole number (quotient) and a remainder. The answer is also provided in a mixed number form. The resulting mixed number is simplified if it is possible.
You can perform long division with remainders or long division with decimals. Here we focus on the former – division with remainders.
For example, 168 / 15 = 11 R3, where 168 is the dividend, 15 is the divisor, 11 is the quotient, and 3 is the remainder.
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.
The combination of the horizontal and vertical lines is usually referred to as the division bracket or the division symbol. Note that the division bracket is included in the calculator interface for convenience.
Repeat step 2 for the new number: 16.
Repeat step 3 with the new numbers.
Repeat step 2 for the new number: 18.
Start repeating step 3 with the new numbers.
18 – 15 = 3
You do not have any new digits, and you can’t bring down any new number. 3 is less than 15; therefore, the division is finished. The final number under the horizontal line is the remainder of the division. The number above the division bracket is the quotient part of the answer.
168 / 15 = 11 R3
You can also write the answer in a mixed number form:
168 / 15 = 11 3/15
Or, in a simplified form:
168 / 15 = 11 1/5
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?
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.
Patrick can buy 13 trains. He will have $7 left.
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?
To find the solution to the problem, we should perform long division with remainders. The quotient part of the answer will represent the amount of full treat bags. The remainder of the answer will represent the number of gummy bears Jane can eat.
First, let’s calculate the dividend for the long division. There are 2 packages with 65 gummy bears each; therefore, there are 2 × 65 = 130 bears.
130 / 8 = 16 R2.
Jane can fill 16 treat bags, and there will be 2 gummy bears left over for her to eat.