What is remainder explain with example?

An amount left over after division (happens when the first number does not divide exactly by the other). Example: 19 cannot be divided exactly by 5. So the answer of 19 √∑ 5 is “3 with a remainder of 4”, which means that 19 can be divided by 5 into 3 parts but with 4 left over, and is usually written “3 R 4”.

What is an example of a division expression?

Rational expressions are divided by applying the same steps used to divide ordinary fractions having rational numbers. For example, to divide, 4/3 √∑ 2/3, you find the product of the first fraction and the inverse of the second fraction; 4/3 x 3/2 = 2.

How do you explain short division?

Short division is similar to long division, but it involves less written work and more mental arithmetic. The general method for both short and long division is the same, but in short division, you write down less of your work, doing the simple subtraction and multiplication mentally.

What is short division example?

Short division: Dividing a three-digit by a one-digit number Let’s take learning a step further and see how you can divide a three-digit by a one-digit number using short division. Don’t worry, we’ll be following the same steps, so the process wouldn’t be that different. Example: Work out what’s 145 divided by five.

What do you mean by remainder?

something that remains or is left: the remainder of the day. a remaining part. Arithmetic. the quantity that remains after subtraction. the portion of the dividend that is not evenly divisible by the divisor.

Which is the quotient of 15 4?

Subtract 12 from 15 . The result of division of 154 is 3 with a remainder of 3 .

How do you divide with remainders?

Divide the first number of the dividend, 4 by the divisor, 32. 4 divided by 32 is 0, with a remainder of 4. You can ignore the remainder for now. Put the 0 on top of the division bracket. This is the beginning of the quotient answer.

What is the remainder of a division problem?

In arithmetic, the remainder is the integer “left over” after dividing one integer by another to produce an integer quotient (integer division). In algebra, the remainder is the polynomial “left over” after dividing one polynomial by another.

How to find remainders?

How to calculate the remainder Begin with writing down your problem. Decide on which of the numbers is the dividend, and which is the divisor. Perform the division – you can use any calculator you want. Round this number down. Multiply the number you obtained in the previous step by the divisor. Subtract the number from the previous step from your dividend to get the remainder.

How do you calculate division?

A person can calculate division with an abacus by repeatedly placing the dividend on the abacus, and then subtracting the divisor the offset of each digit in the result, counting the number of divisions possible at each offset.