Hi! I just wrote this Python Script: 3 % 6 and I saw that the answer is 3, it made me wonder why.. Please explain to me..

Answer 1

When dividing modulo a smaller number by a larger number, it always results in the smaller number.

Answer 2

Modulo operator returns the remainder when the two operands are divided together.

For 3%6, the quotient would be 0 and remainder 3, hence the result you got via the script.

Answer 3

Arsenic, please explain in more detail how you perform calculations ☺️

Answer 4

Vasiliy it's fundamental Euclidean division, I don't think it gets simpler than this.

But since you asked, let me try to explain it even more.

According to Euclid's division lemma,
For any given 2 *integers* ( let's call them A and B ), there exist 2 unique *integers* Q ( called quotient ) and R ( called Remainder ) such that

A = (B * Q) + R { considering 0 <= R<= |B| ,where |B| is absolute value of integer B }

By definition, when we perform a modulo operation (%) between A and B, it returns it's remainder (R)

In ValAlv 's case, A = 3 and B = 6 so the equation looks something like this

3 = ( Q * 6 ) + R

If we put the value of Q = 0 in this case then the equation becomes

3 = ( 0 * 6 ) + R
3 = R

Which means the only possible value of R in this case is 3 which is actually what the OP's script correctly return.

I hope it's clear now.

If you still have any doubts regarding any step then feel free to ask. 👍

Answer 5

Arsenic, 😳 you are familiar with wikipedia 😃, only one question remains.
Why make a calculation if it is initially known that the dividend is less than the divisor? 😊

Answer 6

Thanks. ｡◠‿◠｡