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2 1/2 Divided By 5/8

Long Partition Computer with Decimals

Calculator Use

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

How to Do Long Segmentation with Decimals

  1. If the number you're dividing past has a decimal, move the decimal betoken all the fashion to the correct counting the number of places yous've moved it to. Then move the decimal point in the number you're dividing the same number of places to the correct.
  2. Insert a decimal point in the quotient (answer) space, exactly above the decimal bespeak in the number under the division bar.
  3. Separate until the residuum is goose egg, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your respond is a repeating decimal.

Calculate Decimal Places for a Quotient Answer

How far do you desire to calculate the decimal places for the reply? Here are some examples:

  • 31 divided by 16 = i.937500 calculating to 6 decimal places
  • 31 divided by 16 = one.937 calculating to iii decimal places
  • 22 divided by xv = 1.466666666 calculating 9 decimal places
  • 22 divided by fifteen = 1.466666 computing half-dozen decimal places
  • 22 divided by 15 = 1.466 calculating to iii decimal places

Note that this is not the same as rounding to a specific number of decimal places. For example, 22 divided by 15 = 1.466 when calculated to 3 decimal places because you terminate once y'all achieve the third decimal identify. On the other hand, 22 divided past 15 = 1.467 when rounded to iii decimal places. In order to round to the third decimal place you must calculate to at to the lowest degree the fourth decimal place so that you lot know how to round the tertiary decimal identify. See our Rounding Numbers Calculator for more data.

Also see our Long Partitioning with Remainders to meet the work for long partition with remainders.

Parts of Partition

For the sectionalization problem 471 divided by 32:

  • 471 is the dividend
  • 32 is the divisor
  • xiv.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 practice Long Division with Decimals: Example

In this problem nosotros dissever 4.71 by three.2 out to iii decimal places in the quotient answer.

Gear up the problem with the long division 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 style 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 not a whole number move the decimal point one place to the right. 32 is a whole number. Practice the same to the dividend and move the decimal one identify to the correct.

Since we are solving to 3 decimal places, add two trailing zeroes to the dividend.

Insert a decimal point in a higher place the segmentation bar, directly above the new decimal position in the dividend.

Divide the left near number of the dividend by the divisor, in this example divide iv by 32.

Since iv divided by 32 is non a whole number, the first quotient digit is 0.

Multiply the divisor 32 by the quotient 0 to get the product 0. Subtract 0 from iv to get the remainder 4.

Adjacent, bring down the vii from the dividend then you have 47.

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

Insert ane in the caliber. To find the remainder, multiply the divisor by ane and subtract the product 32 from the 2nd dividend 47. The residuum is 15.

Again, bring downwardly the next digit from the dividend, 1, and place it at the end of the remainder.

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

32 goes into 151 4 times. Put a 4 in the side by side identify in the quotient and multiply 32 past iv to get 128.

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

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

What is 230 divided past 32? 32 goes into 230 vii times. Put a 7 in the next place in the quotient.

32 times 7 is 224.

230 minus 224 leaves a residue of half-dozen.

At present bring downward the next nix from the dividend and repeat the steps.

32 goes into lx only once. Put a ane in the next place in the caliber.

32 multiplied by ane is 32.

Subtracting 32 from lx leaves a remainder of 28.

Wikipedia: Long Division

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2 1/2 Divided By 5/8,

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