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5 6 Divided By 15

Long Partitioning Reckoner with Decimals

Estimator Use

Do long division with decimal numbers and see the work for the calculation step-by-step. Enter positive or negative decimal numbers for divisor and dividend and calculate a quotient respond.

How to Do Long Partitioning with Decimals

  1. If the number yous're dividing by has a decimal, motility the decimal point all the manner to the right counting the number of places yous've moved information technology to. So motility the decimal betoken in the number you're dividing the same number of places to the right.
  2. Insert a decimal point in the caliber (respond) infinite, exactly above the decimal point in the number under the division bar.
  3. Divide until the remainder is nix, or until y'all have plenty decimal places in your answer. Yous can also stop if the residual repeats because this indicates that your answer is a repeating decimal.

Calculate Decimal Places for a Quotient Answer

How far do you want to calculate the decimal places for the answer? Hither are some examples:

  • 31 divided by 16 = one.937500 calculating to vi decimal places
  • 31 divided by 16 = ane.937 computing to 3 decimal places
  • 22 divided past fifteen = 1.466666666 computing ix decimal places
  • 22 divided by 15 = 1.466666 computing 6 decimal places
  • 22 divided by xv = one.466 calculating to 3 decimal places

Note that this is not the same as rounding to a specific number of decimal places. For example, 22 divided by xv = 1.466 when calculated to 3 decimal places considering you finish once you reach the third decimal place. On the other hand, 22 divided by xv = 1.467 when rounded to 3 decimal places. In order to circular to the third decimal place you must calculate to at least the quaternary decimal place so that you know how to circular the 3rd decimal place. Run into our Rounding Numbers Calculator for more than data.

Besides see our Long Partition with Remainders to see the work for long division with remainders.

Parts of Segmentation

For the division problem 471 divided by 32:

  • 471 is the dividend
  • 32 is the divisor
  • 14.718 is the quotient calculated out to 3 decimal places

drawing of long division with parts of division: dividend, divisor, quotient, decimal places

How to do Long Division with Decimals: Example

In this problem nosotros split up iv.71 past 3.2 out to 3 decimal places in the quotient answer.

Ready up the problem with the long sectionalization bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

If the divisor is a decimal number, move the decimal all the fashion to the right. Count the number of places and motion the decimal in the dividend the same number of places. Add together zeroes if needed.

Since 3.2 is non a whole number move the decimal betoken ane identify to the right. 32 is a whole number. Practise the same to the dividend and move the decimal i place to the right.

Since nosotros are solving to 3 decimal places, add ii trailing zeroes to the dividend.

Insert a decimal bespeak to a higher place the segmentation bar, directly to a higher place the new decimal position in the dividend.

Separate the left virtually number of the dividend by the divisor, in this case divide 4 by 32.

Since four divided by 32 is not a whole number, the first caliber digit is 0.

Multiply the divisor 32 past the quotient 0 to get the product 0. Decrease 0 from four to get the remainder 4.

Side by side, bring down the 7 from the dividend so you have 47.

What is 47 divided past 32? Or in other words, how many times does 32 go into 47? Just one time, with a residuum.

Insert 1 in the caliber. To observe the remainder, multiply the divisor past 1 and subtract the product 32 from the second dividend 47. The remainder is 15.

Again, bring down the next digit from the dividend, i, and place it at the end of the residuum.

Repeat the steps. What is 151 divided by 32? Or, how many times does 32 go into 151?

32 goes into 151 four times. Put a iv in the next place in the quotient and multiply 32 by 4 to get 128.

Subtract that production from 151 to find a remainder of 23.

Bring down the 0 from the dividend and insert it later 23 to get 230.

What is 230 divided by 32? 32 goes into 230 seven times. Put a 7 in the side by side identify in the quotient.

32 times 7 is 224.

230 minus 224 leaves a residue of 6.

Now bring downward the next zero from the dividend and echo the steps.

32 goes into sixty but once. Put a 1 in the next place in the quotient.

32 multiplied by one is 32.

Subtracting 32 from 60 leaves a remainder of 28.

Wikipedia: Long Partition

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5 6 Divided By 15,

Source: https://www.calculatorsoup.com/calculators/math/longdivisiondecimals.php

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