Division - Division with Remainder

Division is the process of repeated subtraction or splitting a large group into smaller, equal groups. For example, sharing $12$ cookies among $3$ friends means each friend gets $4$ cookies equally.

The Dividend is the total number to be divided, while the Divisor is the number of groups or the number we are dividing by. In a long division layout, the Dividend is written inside the division bracket, and the Divisor is written to the left outside.

The Quotient is the result or answer obtained from division, and it is usually written on top of the horizontal line of the division bracket. The Remainder is the amount left over when a number cannot be divided exactly into equal parts.

A very important rule is that the Remainder must always be smaller than the Divisor ($Remainder < Divisor$). If you find a remainder larger than the divisor, it means you can divide the number one more time.

When dividing by $10$, the digit in the ones place of the dividend always becomes the remainder, and the remaining digits form the quotient. For example, in $58 \div 10$, the $5$ is the quotient and $8$ is the remainder.

When dividing by $100$, the digits in the tens and ones places of the dividend form the remainder, and the rest of the digits form the quotient. For example, in $725 \div 100$, the $7$ is the quotient and $25$ is the remainder.

Division of any number by $1$ results in the number itself as the quotient with $0$ remainder. Dividing $0$ by any number (except $0$) always gives $0$ as the quotient.