Calculator Use

Divide two numbers, a dividend and also a divisor, and also find the answer together a quotient v a remainder. Learn exactly how to resolve long division with remainders, or exercise your very own long division problems and also use this calculator to examine your answers.

You are watching: 757 divided by 68 with remainder

Long division with remainders is just one of two methods of act long division by hand. It is somewhat easier than fixing a division problem by finding a quotient answer with a decimal. If you need to do long division with decimals use our Long department with decimals Calculator.

What room the parts of Division

For the department sentence 487 ÷ 32 = 15 R 7

487 is the dividend 32 is the divisor 15 is the quotient component of the prize 7 is the remainder part of the price

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How to do Long division With Remainders

From the example over let"s division 487 by 32 mirroring the work.


Long Division
Step-by-Step

Set increase the department problem with the long department symbol or the long division bracket. placed 487, the dividend, on the inside of the bracket. The dividend is the number you"re dividing. placed 32, the divisor, top top the outside of the bracket. The divisor is the number you"re separating by.

Divide the very first number of the dividend, 4 through the divisor, 32. 4 separated by 32 is 0, v a remainder the 4. You can ignore the remainder because that now.
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Put the 0 on peak of the department bracket. This is the beginning of the quotient answer. Next, main point 0 through the divisor 32 and also insert the result 0 below the first number the the dividend inside the bracket. 0 * 32 = 0
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Draw a heat under the 0 and also subtract 0 native 4. 4 - 0 = 4
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Bring under the next variety of the dividend and insert the after the 4 for this reason you have actually 48.
Divide 48 through the divisor, 32. The prize is 1. You deserve to ignore the remainder for now. 48 ÷ 32 = 1 note that you could skip all of the previous procedures with zeros and jump directly to this step. You just need to realize how countless digits in the dividend you need to skip end to acquire your very first non-zero worth in the quotient answer. In this situation you can divide 32 right into 48 directly away.
Put the 1 on peak of the division bar, come the right of the 0. Next, main point 1 through 32 and also write the prize under 48. 1 * 32 = 32
Draw a line and also subtract 32 indigenous 48. 48 - 32 = 16
Bring down the following number indigenous the dividend and also insert the after the 16 for this reason you have actually 167.

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Divide 167 by the 32. Watch a sample emerging? 167 ÷ 32 is 5 with a remainder the 7
Put the 5 on height of the division bar, to the right of the 1. Main point 5 through 32 and write the price under 167. 5 * 32 = 160
Draw a line and also subtract 160 from 167. 167 - 160 = 7
Since 7 is much less than 32 your long department is done. You have actually your answer: The quotient is 15 and also the remainder is 7. So, 487 ÷ 32 = 15 v a remainder of 7 For longer dividends, friend would proceed repeating the division and multiplication procedures until you bring down every number from the divdend and solve the problem.

Further Reading

Math is Fun also provides a step-by-step process for long department with Long division with Remainders.


Cite this content, web page or calculator as:

Furey, Edward "Long department Calculator v Remainders"; beer-selection.com, https://www.beer-selection.com - virtual Calculators


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