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There are IC´s especially designed for this, there are application notes.There are schematic examples.
Just do an internet search.
Then you talk about AC current. Do you mean RMS current?
If so, then you can´t measure RMS current directly. A shunt transfers current into a voltage. You can measure this voltage and calculate the RMS value. But for this you either need an analog RMS converter or you need to do it digitally. Whats is your idea/requirement. Also RMS calculation needs to some kind of "measurement window" it depends on how fast (delay) you need the RMS information. And what dynamics (range) and precision?
There are several ways. I see no extremely simple solution.
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