Remainder in Division

When we divide one number by another, the remainder is the amount left over when the first number is not evenly divisible by the second number.

Example:

Let's divide 17 by 5.

17 ÷ 5 = 3 with a remainder of 2

In this example, 17 divided by 5 equals 3 with a remainder of 2. This means that 5 goes into 17 three times, and there are 2 left over.

Study Guide:

1. When dividing one number by another, if the division is not exact, there will be a remainder.
2. The remainder is the amount left over after the division.
3. The remainder will always be less than the divisor (the number we are dividing by).
4. To find the remainder, you can use the formula: Dividend = Divisor × Quotient + Remainder
5. In long division, the remainder is the amount left over after all the division steps are completed.

Understanding remainders is important in division, as it helps us to see if a number is evenly divisible by another, and also to express fractions and decimals.