Long division is a method in Mathematics for dividing big numbers into steps or parts, breaking the division questions into smaller stages. It is the most commonly used approach for dividing problems and makes it easier for kids to learn about the division better. Examine the following long division to find the divisor, dividend, quotient, and remainder. Before executing it, we must be aware of the crucial aspects of long division.
Long Division with Single-Digit Divisor
Long division is done like simple division. When the divisor is a single digit, it is easy to divide the dividend. You can learn and practice the steps that need to be followed while long division is given.
Step One: Check the first unit of the dividend whether it is divisible by the divisor or not.
Step Two: If the first unit is less than the divisor, take the second digit into account.
Step Three: Then, find the suitable multiple and subtract the numbers. After subtraction brings down the next digit and then again repeat the above steps till you get the remainder as 0 or a number that further cannot be divided.
Example of Long Division With Single Digit Divisor
Long Division with Two-Digit Divisor
The long division with a two-digit divisor can be done using the same steps that are mentioned above. In this, the only change is that in the dividend we take the first two digits of the number to subtract it from the multiple of the divisor. And the rest of the steps are the same.
Example of Long Division of Two- Digit Divisor
Long Division with Remainders
The long division ends when there is a remainder left that cannot be further divided by the divisor or the value of the number is less than the divisor itself. Like in the above-mentioned 435 divided by 4 sample questions, after taking down the last digit 5 to be subtracted we are left with 3. As 3 is less than the divisor 4 so we will now conclude the long division as there are no more digits present in the dividend, which can be used to reduce it. So, we are left with 3 as the remainder.
Long Division without Remainders
Long division without remainders means that the remainder is 0 or the last number to be subtracted by the multiple of the divisor was the same giving us the remainder 0. In an example of a division of 126 by 2, we will get 63 as the quotient. As the last digit 6 is completely divisible by 2 we get the remainder as 0 making it a long division without remainder.
The long division is similar to the standard division. The division consists of dividend, divisor, quotient, and the remainder where the divisor can be single-digit, double-digit, or triple-digit. The remainder can be zero or a number that is less than the divisor. If the dividend does not get divided fully or does not have a remainder as 0, then the division can continue further by using a decimal point. The divisor can be single-digit, two-digit, or three-digit.
Long Division Worksheets
1. Divide 432 by 15.
Explanation: In this, we will take the first two digits of the dividend as our divisor is two digits. A multiple of 15 which is less than or equal to 43 is found and then it is subtracted. The remainder along with the next digit of the dividend is then evaluated and subtracted again.
Solution of the division of 432 by 15
2. Divide 1850 by 12 using long division.
Explanation: Step one: As 18 is a little greater than the divisor itself so we will subtract it by 12. We get 6 as the remainder.
Step Two: Bring down 5 and the new number becomes 65 which can be subtracted from 60 which is a multiple of 12.
Step Three: Now bring down 0 and subtract it with the multiple of 12. There is a remainder left as 2. We get our answer as 154 the quotient.
Solution of Division of 1850 by 12
3. What is the value of the remainder when the division ends without any remainder left?
none of the above