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unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, ExtCtrls, StdCtrls;

type
  TForm1 = class(TForm)
    Edit1: TEdit;
    Edit2: TEdit;
    Button1: TButton;
    Panel1: TPanel;
    procedure Button1Click(Sender: TObject);
  private
    { Private-Deklarationen }
  public
    { Public-Deklarationen }
  end;

var
  Form1: TForm1;

implementation

{$R *.dfm}

procedure TForm1.Button1Click(Sender: TObject);
  var x,y:real;
begin
  x:=StrToFloat(Edit1.Text);
  y:=StrToFloat(Edit2.Text);
try
  Panel1.Caption:=FloatToStr(x/y);
except
  ShowMessage('Division durch 0');
end
end;

end.                    

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procedure TForm1.Button1Click(Sender: TObject);
  var x,y:real;
begin
  x:=StrToFloat(Edit1.Text);
  y:=StrToFloat(Edit2.Text);
  if y<>0 then
    Panel1.Caption:=FloatToStr(x/y);
  //ggf else showmessage('Division durch 0');
end;                    

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uses Math;
//...

if not IsZero(y) then