Problem scroll bar and column width of data grid

<Grid>
    <DataGrid AutoGenerateColumns="False"
              ItemsSource="{Binding Path=Database}">
        <DataGrid.Columns>
            <DataGridTextColumn Width="Auto"
                                Binding="{Binding Path=Integer}"
                                Header="String" />
            <DataGridTextColumn Width="Auto"
                                Binding="{Binding Path=String}"
                                Header="String" />
        </DataGrid.Columns>
    </DataGrid>
</Grid>

This is my Xaml example code to reproduce the problem... there is no code behind.

class DataGridViewModel
    {
        public class Data
        {
            #region properties
            public int Integer { get; set; }
            public string String { get; set; }
            public double Double { get; set; }
            #endregion

            #region instance constructors
            /// <summary>
            /// Initializes a new instance of the <see cref="Data"/> class.
            /// </summary>
            public Data(int i, double d, string s)
            {
                /* initializes all instance members */
                Integer = i;
                Double = d;
                String = s;
            }
            #endregion
        }

        private readonly List<Data> _database = new List<Data>(10);

        public IEnumerable<Data> Database
        {
            get { return _database; }
        }

        public DataGridViewModel()
        {
            /* initializes all instance members */
            _database.Add(new Data(1, 1.5, "test1test1test1test1test1test1test1test1test1test1test1test1test1test1test1test1test1test1"));
            _database.Add(new Data(2, 2.5, "test2test2test2test2test2test2test2test2test2test2test2test2test2test2test2test2test2test2"));
            _database.Add(new Data(3, 3.5, "test3test3test3test3test3test3test3test3test3test3test3test3test3test3test3test3test3test3"));
            _database.Add(new Data(4, 4.5, "test4test4test4test4test4test4test4test4test4test4test4test4test4test4test4test4test4test4"));
            _database.Add(new Data(5, 5.5, "test5test5test5test5test5test5test5test5test5test5test5test5test5test5test5test5test5test5"));
            _database.Add(new Data(6, 6.5, "test6test6test6test6test6test6test6test6test6test6test6test6test6test6test6test6test6test6"));
            _database.Add(new Data(7, 7.5, "test7test7test7test7test7test7test7test7test7test7test7test7test7test7test7test7test7test7"));
            _database.Add(new Data(8, 8.5, "test8test8test8test8test8test8test8test8test8test8test8test8test8test8test8test8test8test8"));
            _database.Add(new Data(9, 9.5, "test9test9test9test9test9test9test9test9test9test9test9test9test9test9test9test9test9test9"));
            _database.Add(new Data(10, 10.5, "test10test10test10test10test10test10test10test10test10test10test10test10test10test10test10"));
        }
    }

this is the view model.


Problem: If I set the column width to "auto" the horizontal scroll bar shows as wished but if the window gets to big i can't select a row in the last empty column.

If I set the column width to "*" the empty column is removed and i can select a row everywhere in the data grid. Now I have a Problem with the horizontal scroll bar, which isn't shown or if it gets shown some times i can't scroll and my text gets cut.

Greetings

Tags: C#, WPF, MVVM, DataGrid