Much easier if u use bananas and a group of people.
Say you have 1 banana and group of 6 people, this you would express: 1 mod 6
/ 1 % 6
/ 1 modulo 6
.
You need 6 bananas for each person in group to be well fed and happy.
So if you then have 1 banana and need to share it with 6 people, but you can only share if you have 1 banana for each group member, that is 6 persons, then you will have 1 banana (remainder, not shared on anyone in group), the same goes for 2 bananas. Then you will have 2 banana as remainder (nothing is shared).
But when you get 6 bananas, then you should be happy, because then there is 1 banana for each member in group of 6 people, and the remainder is 0 or no bananas left when you shared all 6 bananas on 6 people.
Now, for 7 bananas and 6 people in group, you then will have 7 mod 6 = 1
, this because you gave 6 people 1 banana each, and 1 banana is the remainder.
For 12 mod 6
or 12 bananas shared on 6 people, each one will have two bananas, and the remainder is then 0.