How is it possible that you get two digit numbers multiplied by three at the beginning if you divide 1 by 97, etc.?

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I divided $1$ by $97$ and I got this: $0.0103092783\dots$; I got two digit numbers being multiplied by three at the beginning. I divided $1$ by $997$ and I got a similar thing: $0.001003009027081243731\dots$; I got three-digit numbers being multiplied by three at the beginning. How does this happen? It's something very remarkable, isn't it?