Answer:
The division algorithm is an algorithm that specifies how to perform the division of one number (called the dividend) by another number (called the divisor) to obtain the quotient and the remainder.
For example, if we want to divide 15 by 4, we can use the division algorithm to find the quotient and remainder. In this case, we have:
15 = 4 * 3 + 3
So, the quotient is 3 and the remainder is 3.
If it's not clear for you yet, you can wait for another answer, maybe better explained.
Easier example (the classic one with apples):
Imagine you have a bunch of apples, and you want to divide them equally among a group of friends. The division algorithm can help you figure out how many apples each friend gets, and how many apples are left over.
Here's an example, let's say you have 15 apples, and you want to divide them among 4 friends. Using the division algorithm, we can figure out that each friend gets 3 apples, and there will be 3 apples left over.
To use the division algorithm, you start by dividing the number of apples (15) by the number of friends (4). This gives us the number of apples each friend gets, which is called the "quotient." In this case, the quotient is 3.
Then, we take the remainder, which is the number of apples that are left over after we divide them evenly among the friends. In this case, the remainder is 3.
So, each friend gets 3 apples, and there are 3 apples left over.