There are tons of ways to split. You can divide decimals, fractions or even exponents and you can do the division by row or column. If you want to know how to split using different methods, just follow these steps.
Steps
Method 1 of 5: Perform the Division in Column
Step 1. Write down the problem
To make a division by column, write the dividend, that is the number to divide, under the operation bar and the divisor, that is the number by which it is divided, on the left.
Example: 136 ÷ 3
Step 2. Find how many times the divisor is in the first digit of the first number
In this case, you can't divide 1 by 3, so you have to put a 0 at the top of the division bar and move on. Subtract 0 from 1, which is 1.
Step 3. Divide the number consisting of the first and second digits by the divisor
Since you couldn't divide 1 by 3, 1 remains. You have to bring down the 3. Now, divide 13 by 3. 3 goes into 13 four times to make the 12 with the remainder of 1, so you have to write a 4 above the long division bar, to the right of the 0. You must then subtract 12 from 13 and write 1 below it, as 1 is the remainder.
Step 4. Divide the remaining term by the divisor
Lower the 6 to the height of 1, forming 16. Now, divide 16 by 3. It is 5, always with the remainder of 1, because 3 x 5 = 15 and 16 - 15 = 1.
Step 5. Write the remainder next to your quotient
The final answer is 45 with the remainder of 1, or 45 R 1.
Method 2 of 5: Make Short Division
Step 1. Write down the problem
Place the divisor, the number you need to divide by, outside the long dividing bar and the dividend, the number you need to divide, inside the sign. Remember that if you want to do the short division, the divisor cannot have more than one digit.
518 ÷ 4
Step 2. Divide the first number of the dividend by the divisor
5 ÷ 4 = 1 R 1. Put quotient 1 above the bar. Write the remainder above the first number of the dividend. Place a small 1 above the 5, to remind yourself that you had a remainder of 1 when you divided 5 by 4. 518 should now be written like this: 5118
Step 3. Divide the divisor by the number formed by the remainder and the second digit of the dividend
The next number becomes 11, using the remainder of 1 and the second number from the dividend. 11 ÷ 4 = 2 R 3, because 4 x 2 = 8 with the remainder of 3. Write the new remainder above the second digit of the dividend. Put the 3 on top of the 1. The original dividend, 518, should now look like this: 51138
Step 4. Divide the remaining numbers by the divisor
The remaining number is 38: the remainder 3 from the previous step and the number 8 as the last term of the dividend. 38 ÷ 4 = 9 R 2, because 4 x 9 = 36, which is 2 to get to 38. Write "R 2" at the top of the division bar.
Step 5. Write the final answer
You can find the final answer, the quotient, at the top of the division bar. It is 518 ÷ 4 = 129 R 2.
Method 3 of 5: Divide Fractions
Step 1. Write down the problem
To divide fractions, simply write the first fraction, followed by the division symbol and the second fraction.
Example: 3/4 ÷ 5/8
Step 2. Swap the numerator with the denominator of the second fraction
The second fraction becomes your reciprocal.
Example: 5/8 becomes 8/5
Step 3. Change the division sign to the multiplication sign
To divide fractions, you are essentially multiplying the first fraction by the reciprocal of the second.
Example: 3/4 ÷ 5/8 = 3/4 x 8/5
Step 4. Multiply the numerators of the fractions
Example: 3 x 8 = 24
Step 5. Multiply the denominators of the fractions
By doing so, you are completing the process of multiplying two fractions.
Example: 4 x 5 = 20
Step 6. Put the product of the numerators above the product of the denominators
Now that you have multiplied the numerators and denominators of the two fractions, the product of the two fractions is formed.
Example: 3/4 x 8/5 = 24/20
Step 7. Reduce the fraction
To reduce the fraction, find the greatest common divisor, which is the largest number that divides both numbers. In the case of 24 and 20, the greatest common divisor is 4. You can verify this by writing out all the submultiples of both and highlighting the common number:
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24: 1, 2, 3,
Step 4., 6, 8, 12, 24
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20: 1, 2,
Step 4., 5, 10, 20
- Since 4 is the GCD of 24 and 20, just divide both numbers by 4 to reduce the fraction.
- 24 / 4 = 6
- 20 / 4 = 5
- 24 / 20 = 6 / 5
Do Division Step 18 Step 8. Rewrite the fraction as a mixed number (optional)
To do this, simply divide the numerator by the denominator and write the answer as the integer. The remainder, or the number that is left, will be the numerator of the new fraction. The denominator of the fraction will remain the same. Since 5 goes into 6 once with a remainder of 1, the new integer is 1 and the new numerator is 1, creating a mixed number 1 1/5.
Example: 6/5 = 1 1/5
Method 4 of 5: Divide Powers of Equal Base
Do Division Step 19 Step 1. Make sure the exponents have the same base
Powers can only be divided if they have the same base. If they do not have the same base, you will have to manipulate them until they have it, if possible.
Example: x8 ÷ x5
Do Division Step 20 Step 2. Subtract the exponents
You have to subtract the second exponent from the first. Don't worry about the base for now.
Example: 8 - 5 = 3
Do Division Step 21 Step 3. Place the new exponent above the original base
Now you can write the exponent again above the original base.
Example: x8 ÷ x5 = x3
Method 5 of 5: Divide the Decimals
Do Division Step 22 Step 1. Write down the problem
Place the divider outside the long divider and the dividend inside it. To divide decimals, your goal will first be to convert decimals to whole numbers.
Example: 65, 5 ÷ 5
Do Division Step 23 Step 2. Change the divisor to an integer
To change 0, 5 to 5 or 5, 0 it is sufficient to move the decimal point by just one unit.
Do Division Step 24 Step 3. Change the dividend by moving its decimal point by the same amount
Since you have moved the decimal point from 0, 5 by one unit to the right to make it an integer, also move the decimal point from 65.5 by one unit to the right to make it 655.
If you move the comma by a dividend beyond all digits, then you will have to write an extra zero for each space that the comma moves. For example, if you move the comma by 7, 2 by three places, then 7, 2 becomes 7,200, because you moved the comma two more spaces beyond the number
Do Division Step 25 Step 4. Put the comma on the long divider bar directly above the decimal in the dividend
Since you moved the comma one place just to make 0.5 an integer, you should place the comma above the long divider in the place where you moved the comma, just after the last 5 of 655.
Do Division Step 26 Step 5. Solve the problem by doing a simple column division
To divide 655 by 5 in column, do the following:
- Divide the hundreds digit, 6, by 5. You get 1 with a remainder of 1. Put 1 in place of the hundreds above the division bar and subtract 5 just below the 6.
- The rest, 1, remained. Lower the five of the tens into 655 to create the number 15. Divide 15 by 5 and you get 3. Put it over the long division bar, next to one.
- Bring down the last 5. Divide 5 by 5 to get 1 and place the 1 over the divider bar. There is no remainder since the 5 is exactly in the 5.
- The answer is the number above the long divider. 655 ÷ 5 = 131. Note that this is also the answer to the original problem, 65,5 ÷ 0, 5.
