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Format %lf is a perfectly correct printf format for double, exactly as you used it Type long double is nominally 80 bits, though a given compiler/os pairing may store it as 12. There's nothing wrong with your code
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Format %lf in printf was not. Because first division is done as per precedence rule. A double is a floating point type, not fixed point
Do not use std::fixed as that fails to print small double as anything but 0.000.000
For large double, it prints many digits,. The standard only requires that long double is at least as precise as double, so some compilers will simply treat long double as if it is the same as double There are three floating point types Float, double, and long double
The type double provides at least as much precision as float, and the type long double provides at least as. Saying that bigdecimal is an exact way of representing numbers is misleading 1/3 and 1/7 can't be expressed exactly in a base 10 number system (bigdecimal) or in base 2 number system. Edit (failed to read entire question)

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Double d = (double)5 / 20
Double v = (double)5 / (double) 20 Double v = 5 / (double) 20 Note that casting the result won't do it

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