59 1/4 Divided By 2

Long Division Calculator with Remainders

Calculator Use

Carve up two numbers, a dividend and a divisor, and find the answer every bit a quotient with a remainder. Learn how to solve long division with remainders, or practice your own long division problems and apply this figurer to cheque your answers.

Long division with remainders is 1 of two methods of doing long sectionalisation by hand. It is somewhat easier than solving a sectionalization trouble by finding a caliber answer with a decimal. If yous need to do long sectionalisation with decimals use our Long Division with Decimals Calculator.

What Are the Parts of Sectionalisation

For the division 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 answer

solve a long division problem with parts of division: dividend, divisor, quotient, remainder

How to do Long Division With Remainders

From the example to a higher place permit's divide 487 by 32 showing the piece of work.

set up the problem long division 487 divided by 32

Set up the division problem with the long division symbol or the long segmentation bracket.

Put 487, the dividend, on the inside of the bracket. The dividend is the number you're dividing.
Put 32, the divisor, on the outside of the bracket. The divisor is the number y'all're dividing past.

step 1 divide dividend by divisor in long division 487 divided by 32

Divide the offset number of the dividend, iv by the divisor, 32.

iv divided by 32 is 0, with a remainder of 4. You lot tin can ignore the residual for now.

step 2 subtraction in long division problem 487 divided by 32

Put the 0 on top of the division bracket.
This is the commencement of the quotient answer.

Side by side, multiply 0 past the divisor 32 and insert the result 0 below the first number of the dividend within the bracket.

0 * 32 = 0

step 3 long division 487 divided by 32

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

4 - 0 = 4

step 4 long division 487 divided by 32

Bring down the side by side number of the dividend and insert it later the 4 so you accept 48.

step 5 long division 487 divided by 32

Separate 48 by the divisor, 32. The reply is 1. Y'all can ignore the residuum for now.

48 ÷ 32 = 1

Note that you lot could skip all of the previous steps with zeros and jump straight to this footstep. You lot but need to realize how many digits in the dividend you need to skip over to get your first non-zilch value in the quotient answer. In this instance you could separate 32 into 48 straight away.

step 6 long division 487 divided by 32

Put the 1 on top of the partition bar, to the right of the 0. Next, multiply i by 32 and write the answer under 48.

i * 32 = 32

step 7 long division 487 divided by 32

Draw a line and decrease 32 from 48.

48 - 32 = 16

step 8 long division 487 divided by 32

Bring downward the adjacent number from the dividend and insert it subsequently the sixteen then you have 167.

step 9 long division 487 divided by 32

Divide 167 past the 32. Run across a blueprint emerging?

167 ÷ 32 is 5 with a remainder of seven

step 10 long division 487 divided by 32

Put the v on top of the division bar, to the right of the 1. Multiply five past 32 and write the answer nether 167.

v * 32 = 160

step 11 long division 487 divided by 32

Depict a line and subtract 160 from 167.

167 - 160 = 7

step 11 long division 487 divided by 32

Since 7 is less than 32 your long sectionalization is done. You have your answer: The quotient is 15 and the remainder is 7.

So, 487 ÷ 32 = xv with a remainder of vii

For longer dividends, yous would continue repeating the segmentation and multiplication steps until you bring downwards every digit from the divdend and solve the trouble.