Table of Contents
What is Long Division?
Long division is a process of dividing a number by another number, using a division algorithm. The division algorithm always produces a quotient and a remainder. The quotient is the answer to the division problem, and the remainder is the amount that is left over after the division is complete.
Define Long Division
Long division is a mathematical process for dividing a number by another number. The dividend (the number being divided) is divided by the divisor (the number doing the dividing) and the quotient (the result of that division) is the answer. The remainder (the leftover number) is the difference between the dividend and the quotient.
Long Division Steps
To divide a number by another number, use long division. This is a process of dividing a number into smaller pieces until the divisor (the number you are dividing by) is reached.
To long divide, follow these steps:
1. Write the dividend (the number you are dividing) on the left side of a line.
2. Write the divisor (the number you are dividing by) on the right side of the line.
3. Draw a line under the divisor.
4. Write the first number in the division problem (the number over the line) below the line.
5. Draw a line under the first number.
6. Write the second number in the division problem (the number under the line) to the right of the line.
7. Write the division symbol (/) below the line.
8. Repeat these steps until the division problem is solved.
Here is an example of how to long divide:
To divide 9 by 3, follow these steps:
1. Write 9 on the left side of the line.
2. Write 3 on the right side of the line.
3. Draw a line under the 3.
4. Write the first number in the division problem (9) below the line.
5. Draw a line under the 9.
6. Write the second
Division Types
There are six types of division:
integer division
floating-point division
rational division
decimal division
binary division
hexadecimal division
Long Division Examples
We can use long division to divide any two numbers, including decimals.
Example 1:
divide 5.678 by 2.
We start by drawing a division line under the 5.678. We then divide the 5.678 by 2, and write the result, 2.839, below the division line. We then carryover the 0 from the 5.678 to the 2.839, and write the 3 below the division line. We then subtract the 2.839 from the 5.678, and write the result, 2.839, above the division line. We then write the 1 below the division line.
5.678 2.839 _________ 2.839
We then write the 0 below the division line.
5.678 2.839 _________ 2.839
0
