Wait a minute with that brown example,
Like for real time out.
If you had 1 litre of water, so 1000 grams of water, and you pour it into 3 containers, you don't have 333.333... grams in each container, you have a precise weight in each container.
This analogy is rediculous, it's the same as saying 9=10,
You can't round up physical values.
If you buy a gram of coke, and the dealer taps it onto the scale until it's 0.9999999 grams, that isn't 1 gram.
This whole debate rages because of a misunderstanding between vectored maths and real world maths,
These symbols you are looking at are approximations done by humans in order to measure our world better, you cannot have an infinitely repeating number measured in the real world anymore than you can give a value in kilometres for how far away infinity is.