Write the result in a new row beneath the dividend, aligned with the first digit of the dividend. Write a zero on a new line just below the 1 in Subtract the multiplication result from the first digit of the dividend. In other words, subtract the number you just wrote in the new row below the dividend from the digit in the dividend directly above it.
Write the result in a new row, in alignment with the digits from the subtraction problem. Place the result 1 in another new row right below the 5.
Place the result 1 in another new row right below the 0. Carry down the second digit of the dividend. Drop down the second digit of the dividend to the new bottom row, just to the right of the subtraction result you just got. This gives you 15 in this row.
Repeat the long division process sample problem 1. This time, use the dividend the number to the left of the division bar and the new number on the bottom row the result of your first round of calculations and the digit you carried down. As before, divide, then multiply, and finally subtract to get your result.
Finally, subtract 15 from 15 and write 0 in a new bottom row. Sample problem 1 is now complete, since there are no more digits in the divisor to carry down. Your answer 13 is above the division bar.
Repeat the long division process sample problem 2. Like before, you start by dividing, then multiply, and finish up by subtracting. Then, multiply 4 by 3 and write the answer 12 below the Finally, subtract 12 from 13 and write the answer 1 below the Do another round of long division and get the remainder sample problem 2. You'll place this remainder beside your whole number answer. Drop down the 6 from , making 16 in the bottom row.
Divide 3 into 16, and write the result 5 above the division line. Multiply 5 by 3, and write the result 15 in a new bottom row. Subtract 15 from 16, and write the result 1 in a new bottom row. Method 2. Use a division bar to write out the problem.
Place the divisor, the number you'll be dividing, outside of and to the left of the division bar. Put the dividend, the number that you'll be dividing into, inside to the right of and beneath the division bar. In order to do short division , your divisor can't have more than one digit. In this case, the 4 will be outside the division bar, and the inside it. Divide your divisor into the first digit of the dividend.
In other words, determine how many times the number outside the division bar will fit into the first digit of the number inside the division bar. Write the whole number result above the division bar, and write any remainder amount left over in superscript beside the first digit of the dividend.
Place the quotient, 1, above the long division bar. Place a small, superscript 1 beside the 5, to remind yourself that you had a remainder of 1. The under the bar should now look like this: 5 1 Divide the divisor into the remainder and second dividend digit. Treat the superscript number that signifies your remainder as a full-size digit, and combine it with the dividend digit immediately to its right.
Determine how many times the divisor goes into this new 2-digit number, and write down whole number amount and any remainder as you did previously. In the sample problem, the number formed by the remainder and the second number of the dividend is Write the 2 above the division line giving you 12 and the 3 as a superscript number beside the 1 in The original dividend, , should now look like this: 5 1 1 3 8.
Keep determining how many times the divisor goes into the number formed by the next digit of the dividend and the superscript remainder immediately to its left. In the sample problem, the next and final dividend number is 38—the remainder 3 from the previous step, and the number 8 as the last term of the dividend. Write this final remainder 2 above the division bar to complete your answer.
Therefore, your final answer above the division bar is r. Method 3. Write the equation so the 2 fractions are side-by-side. For convenience, use horizontal instead of diagonal lines to separate the numerator top number and denominator bottom number of each fraction. Reverse the numerator and denominator of the second fraction. The second fraction becomes its own reciprocal. Change the division sign to a multiplication sign. To divide fractions, you multiply the first fraction by the reciprocal of the second.
Multiply the numerators of the fractions. Follow the same procedure you would when multiplying any 2 fractions. Multiply the denominators of the fractions in the same way. If your divisor is a whole number, you don't need to move the decimal. Move the decimal for the dividend if necessary. If you moved the decimal for the divisor, you also need to move the decimal for the dividend. Move it the same number of places. This may mean that you'll need to add zeroes if necessary.
Consider rewriting the problem so you don't make simple errors. Move the decimal point directly up above the division bar. Place the decimal point right above the decimal point that's in the dividend. Divide the problem as usual. Work from left to right and see how many times the divisor can go into the dividend. Place the quotient above the line and don't move the decimal point. For example, since 5 doesn't go into 4, see how many times it goes into Because 5 goes into 45 nine times, place a 9 above the line followed by a zero.
Check your work with a calculator or by multiplying. If you need to show your work, multiply the quotient you got by the original divisor. You should get the original dividend if you've divided the problem correctly. For example, to check 4. Did you know you can get answers researched by wikiHow Staff?
Unlock staff-researched answers by supporting wikiHow. Not Helpful 15 Helpful 1. Not Helpful 13 Helpful 3. Not Helpful 7 Helpful 5. Multiply your answer to the division problem by the number you divided by. You should come up with the number you divided if you did both operations correctly. Not Helpful 42 Helpful If you want to divide a fraction into another number, invert the fraction and multiply it by the other number. Not Helpful 41 Helpful Not Helpful 72 Helpful Ignore the decimal point at first.
Perform the division, then place the decimal point in the quotient immediately above the decimal point in the dividend. To check your work, analyze what you're trying to do. In this case you're trying to calculate one-quarter of a number slightly larger than 1, so the answer will be slightly more than one-quarter, or.
Not Helpful 32 Helpful Leave it blank or bring it up on the division bar behind the decimal point. Remember, this does not change the value of the number. Example: We're at the end of the answer line but the answer to our last subtraction problem is "6.
Write a decimal point at the same spot on the answer line as well, but don't write anything after it yet. Repeat the same steps to find the next digit. The only difference here is that you must bring the decimal point up to the same spot on the answer line. Once you've done that, finding the remaining digits of the answer is exactly the same.
Example: Bring down the new 0 down to the last line to make " Don't forget that we put a decimal on our answer line, so 2. How do I divide a whole number and a decimal if the whole number is larger than the decimal? You have to keep adding zeros to the end of the decimal until the whole number can fit inside it. Not Helpful 18 Helpful If you're asking about the zero in the quotient above, it's because Not Helpful 32 Helpful It didn't. Instead, a zero was brought down to the bottom line, turning the 6 into a Then 12 was divided into 60, giving 5, which was entered on the top.
Not Helpful 25 Helpful You move the decimal point straight up from the dividend into the quotient. Not Helpful 26 Helpful Divide as described above. You'll wind up with a quotient less than 1. Not Helpful 20 Helpful Not Helpful 15 Helpful When you encounter a repeating decimal, you can choose to ignore the later numbers after they start repeating if you'd like.
Your accuracy increases when you include later, repeating numbers, but the increase in accuracy is minor. Not Helpful 12 Helpful The answer will be correct. Not Helpful 23 Helpful Move the decimal point enough places to the right to make the divisor a whole number.
You must move the decimal point in the dividend the same number of places to the right. Not Helpful 17 Helpful Just put a decimal point in the quotient right above the one in the dividend.
Not Helpful 13 Helpful Include your email address to get a message when this question is answered. By using this service, some information may be shared with YouTube. If you follow the long division method correctly, you'll always end up with the decimal point in the right position, or no decimal point at all if the numbers divide evenly.
Don't try to guess where the decimal goes; it's often different than where the decimal is in the numbers you started with. Helpful 9 Not Helpful 3. But now that you're working with decimals, your teacher probably expects you to solve the decimal part of the answer as well. Helpful 9 Not Helpful 5.
If the long division problem goes on for a long time, you can stop at some point and round to a nearby number. Helpful 9 Not Helpful 6. Remember your division terms: The dividend is the number getting divided. The divisor is the number you are dividing by. The quotient is the solution to the math problem. Helpful 1 Not Helpful 0. Submit a Tip All tip submissions are carefully reviewed before being published.
Don't try to "correct" your answer afterward by moving the decimals back. Related wikiHows How to.
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