Explanation of 1 mod 3

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So i've been looking into modulo recently. I'm trying to improve my math skills, which are not the best if i'm honest. But something i am trying to improve. I understand how this works i think. I am also quite competent with long division. However something is bugging me and i can't seem to find an answer for it online.

I know that 7 % 5 = 2 (5 goes into 7 once, with a remainder of 2).

What i don't understand is this;

1 % 3 = 1

How can this be, 3 goes into 1, 0 times, with a remainder of 3? Surely the answer to 1 % 3 = 3?

Can anyone explain this in its most simplest terms please?

Am i correct in thinking that if the dividend (1) is less than the devisor (3) which we know will equal 0 remainder x, it just uses the dividend as the result?

Thanks for your help.

2 Answers
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