Remainder in Division

When we divide one number by another, the remainder is the amount left over after the division is complete. For example, when we divide 10 by 3, we get a quotient of 3 and a remainder of 1. This means that 3 goes into 10 three times with 1 left over.

Example:

Find the remainder when 17 is divided by 5.

We can write 17 as 5 times 3 plus 2:

17 = 5 * 3 + 2

So, the remainder is 2.

Key Concepts:

1. Dividend: The number being divided.
2. Divisor: The number by which the dividend is being divided.
3. Quotient: The result of the division, ignoring the remainder.
4. Remainder: The amount left over after the division is complete.

Study Guide:

Here are some steps to help you find the remainder when dividing two numbers:

1. Divide the dividend by the divisor using long division or the division algorithm.
2. Write the dividend as the product of the divisor and the quotient, and then add the remainder.
3. The remainder is the amount left over after the division is complete.

Remember to practice different examples to solidify your understanding of finding remainders in division.

Hope this helps!