Division

Division is a mathematical operation that consists of dividing a number $ N_1 $ (called the dividend) by another number $ N_2 $ (called the divisor) to find the number of times that $ N_2 $ can be contained in $ N_1 $.

The division operation should be seen as a separation of a number $ N_1 $ into smaller quantities $ N_2 $ in equal parts (called the quotient).

This division can be exact (separation of 10 elements into a pile of 2) or have a remainder (separation of 10 elements into a pile of 3, remainder 1 element).

With the calculator, indicate the 2 numbers $ N_1 $ and $ N_2 $ and click on calculate.

Integer (or Euclidean) division gives an integer quotient and a remainder.

Decimal division, on the other hand, gives a quotient in decimal form.

In division, the quotient represents the number of times the divisor can be contained in the dividend. The remainder is what is left after subtracting the product of the quotient and the divisor from the dividend. The relationship between these elements can be expressed as: $ a = b \cdot q + r $ where $ r $ is the remainder, $ a $ is the dividend, $ b $ is the divisor, and $ q $ is the quotient.

At school the Euclidean division is taught, which consists of placing a division by hand, without a calculator, with or without a remainder, dCode has a tool for that: Euclidean division.

DCode uses arbitrary precision calculation algorithms to obtain exact values when dividing big numbers, without scientific notation (billions, trillions and more), up to 1 million digits.