30 Divided By 1 3

Long Division Calculator with Remainders

Estimator Use

Divide two numbers, a dividend and a divisor, and find the answer as a caliber with a remainder. Learn how to solve long partitioning with remainders, or do your own long segmentation problems and utilise this figurer to check your answers.

Long division with remainders is i of two methods of doing long division by paw. It is somewhat easier than solving a division trouble past finding a caliber reply with a decimal. If you need to exercise long partition with decimals employ our Long Sectionalization with Decimals Calculator.

What Are the Parts of Sectionalisation

For the division judgement 487 ÷ 32 = 15 R 7

487 is the dividend
32 is the divisor
15 is the quotient part of the respond
7 is the remainder part of the answer

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

How to practise Long Segmentation With Remainders

From the example above let's divide 487 by 32 showing the work.

set up the problem long division 487 divided by 32

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

Put 487, the dividend, on the inside of the subclass. The dividend is the number yous're dividing.
Put 32, the divisor, on the exterior of the bracket. The divisor is the number y'all're dividing by.

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

Dissever the first number of the dividend, 4 past the divisor, 32.

4 divided past 32 is 0, with a remainder of 4. You tin ignore the remainder for at present.

step 2 subtraction in long division problem 487 divided by 32

Put the 0 on acme of the division bracket.
This is the beginning of the caliber answer.

Next, multiply 0 by the divisor 32 and insert the result 0 below the beginning number of the dividend inside the bracket.

0 * 32 = 0

step 3 long division 487 divided by 32

Draw a line nether the 0 and subtract 0 from four.

iv - 0 = 4

step 4 long division 487 divided by 32

Bring downward the next number of the dividend and insert information technology after the 4 so you have 48.

step 5 long division 487 divided by 32

Divide 48 past the divisor, 32. The answer is one. You lot can ignore the remainder for now.

48 ÷ 32 = 1

Note that yous could skip all of the previous steps with zeros and jump direct to this stride. You just need to realize how many digits in the dividend y'all demand to skip over to become your first non-zero value in the quotient answer. In this case you lot could divide 32 into 48 directly away.

step 6 long division 487 divided by 32

Put the 1 on top of the partition bar, to the correct of the 0. Next, multiply 1 past 32 and write the respond nether 48.

1 * 32 = 32

step 7 long division 487 divided by 32

Draw a line and subtract 32 from 48.

48 - 32 = sixteen

step 8 long division 487 divided by 32

Bring down the side by side number from the dividend and insert it subsequently the 16 so you have 167.

step 9 long division 487 divided by 32

Divide 167 by the 32. See a design emerging?

167 ÷ 32 is 5 with a residuum of 7

step 10 long division 487 divided by 32

Put the 5 on acme of the division bar, to the correct of the 1. Multiply 5 past 32 and write the respond under 167.

v * 32 = 160

step 11 long division 487 divided by 32

Draw a line and subtract 160 from 167.

167 - 160 = vii

step 11 long division 487 divided by 32

Since 7 is less than 32 your long division is done. Y'all have your answer: The quotient is 15 and the rest is vii.

So, 487 ÷ 32 = fifteen with a remainder of 7

For longer dividends, you would continue repeating the division and multiplication steps until you bring down every digit from the divdend and solve the problem.