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Divide two numbers, a dividend and also a divisor, and also find the answer as a quotient with a remainder. Learn just how to solve long division with remainders, or exercise your own long department problems and use this calculator to examine your answers.

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Long division with remainders is among two methods of act long division by hand. The is somewhat much easier than addressing a department problem by finding a quotient answer with a decimal. If you have to do long division with decimals usage our Long department with decimals Calculator.

What space the parts of Division

For the division sentence 487 ÷ 32 = 15 R 7

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


How to perform Long division With Remainders

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

Long Division

Set up the division problem with the long department symbol or the long department bracket. placed 487, the dividend, top top the inside of the bracket. The dividend is the number you"re dividing. put 32, the divisor, ~ above the exterior of the bracket. The divisor is the number you"re dividing by.

Divide the an initial number that the dividend, 4 by the divisor, 32. 4 divided by 32 is 0, v a remainder of 4. You have the right to ignore the remainder for now.

Put the 0 on optimal of the department bracket. This is the start of the quotient answer. Next, main point 0 by the divisor 32 and insert the result 0 below the very first number of the dividend within the bracket. 0 * 32 = 0

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

Bring down the next variety of the dividend and also insert it after the 4 for this reason you have actually 48.
Divide 48 through the divisor, 32. The answer is 1. You can ignore the remainder because that now. 48 ÷ 32 = 1 note that you might skip all of the previous actions with zeros and also jump right to this step. You just need to establish how countless digits in the dividend you need to skip over to acquire your an initial non-zero worth in the quotient answer. In this instance you could divide 32 right into 48 directly away.
Put the 1 on peak of the division bar, to the appropriate of the 0. Next, main point 1 by 32 and write the price under 48. 1 * 32 = 32
Draw a line and subtract 32 indigenous 48. 48 - 32 = 16
Bring under the following number native the dividend and also insert it after the 16 therefore you have actually 167.

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Divide 167 by the 32. Check out a pattern emerging? 167 ÷ 32 is 5 with a remainder that 7
Put the 5 on peak of the division bar, come the ideal of the 1. Multiply 5 by 32 and also write the price under 167. 5 * 32 = 160
Draw a line and also subtract 160 from 167. 167 - 160 = 7
Since 7 is less than 32 your long department is done. You have actually your answer: The quotient is 15 and the remainder is 7. So, 487 ÷ 32 = 15 with a remainder the 7 For much longer dividends, friend would proceed repeating the division and multiplication actions until you lug down every number from the divdend and also solve the problem.

Further Reading

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

Cite this content, page or calculator as:

Furey, Edward "Long department Calculator v Remainders" in ~ native, - virtual Calculators


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