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could anyone tell me which formula I should use for the integer part of a
cell to be shown in another cell,

The function you're probably looking for is INT().

 A1: 0.77
 B1: =INT(A1)   → 0
 C1: =A1*2      → 1.54
 D1: =B1*2      → 0

and for the value of this cell to be
changed, since, for example, 5,77 would become equal to 5?

I guess I don't understand the restrictions in your spreadsheet. Without knowing any further 
details of your application, I'd say, why not use the value calculated by INT() instead of the 
original value in any subsequent operations?


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