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

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Long division with remainders is one of two approaches of law long division by hand. The is somewhat much easier than solving a department problem by detect a quotient answer v a decimal. If you need to do long department with decimals use our Long division with decimal Calculator.

What are 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 part of the answer 7 is the remainder part of the prize


How to perform Long department With Remainders

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

Long Division

Set up the department problem with the long division symbol or the long department bracket. put 487, the dividend, top top 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 splitting by.

Divide the first number of the dividend, 4 by the divisor, 32. 4 split by 32 is 0, with a remainder of 4. You deserve to ignore the remainder for now.

Put the 0 on height of the department bracket. This is the beginning of the quotient answer. Next, main point 0 by the divisor 32 and also insert the an outcome 0 listed below the an initial number the the dividend within the bracket. 0 * 32 = 0

Draw a heat under the 0 and also subtract 0 from 4. 4 - 0 = 4

Bring under the next number of the dividend and insert that after the 4 therefore you have actually 48.
Divide 48 by the divisor, 32. The answer is 1. You have the right to ignore the remainder for now. 48 ÷ 32 = 1 keep in mind that you can skip every one of the previous procedures with zeros and jump straight to this step. You simply need to establish how countless digits in the dividend you have to skip over to gain your very first non-zero worth in the quotient answer. In this situation you could divide 32 into 48 right away.
Put the 1 on optimal of the department bar, come the best of the 0. Next, main point 1 by 32 and also write the answer under 48. 1 * 32 = 32
Draw a line and subtract 32 native 48. 48 - 32 = 16
Bring down the next number from the dividend and insert it after the 16 for this reason you have 167.

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Divide 167 by the 32. Check out a pattern emerging? 167 ÷ 32 is 5 v a remainder of 7
Put the 5 on top of the division bar, to the best of the 1. Main point 5 by 32 and write the prize under 167. 5 * 32 = 160
Draw a line and subtract 160 native 167. 167 - 160 = 7
Since 7 is much less than 32 your long department is done. You have your answer: The quotient is 15 and the remainder is 7. So, 487 ÷ 32 = 15 with a remainder the 7 For much longer dividends, girlfriend would proceed repeating the department and multiplication steps until you lug down every digit from the divdend and solve the problem.

Further Reading

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

Cite this content, page or calculator as:

Furey, Edward "Long division Calculator v Remainders" at from, - online Calculators


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