when you use
@Html.TextBoxFor(m => m.DivisionId)
the TexBoxFor render as
<input id="DivisionId" name="DivisionId" type="text" value="" />
The TextBoxFor helper uses the lambda expressions that is passed as first argument to calculate the name of the input field. So if you want the generated input field to be called with some Id or name , simply rename the property in your view model