Ok!! Yes!!! I'm going to try this!! thank you - Michael, your very helpful reply was posted while I was typing out my response to Bill

Thank you!!

I would drop the [t] from v[t] in the requested form of the solution, and possibly use NDSolveValue, depending on how I wanted to use the solution.

sol = First@NDSolve[DE, v, {t, 0, 10}]  (* returns a rule  v -> InterpolatingFunction[..] *)

vIF = NDSolveValue[DE, v, {t, 0, 10}]  (* return an  InterpolatingFunction[..] *)

Then you can evaluate v like this:

v[4] /. sol
(*  225.484  *)

vIF[4]
(*  225.484  *)

To get a table of the actual steps taken by NDSolve, you can take advantage of built-in methods of InterpolatingFunctions that allow you some access to the internal data:

vIF@"Methods"
(*
  {"Coordinates", "DerivativeOrder", "Domain", "ElementMesh", 
   "Evaluate", "GetPolynomial", "Grid", "InterpolationMethod", 
   "InterpolationOrder", "MethodInformation", "Methods", 
   "OutputDimensions", "Periodicity", "PlottableQ", "Properties", 
   "QuantityUnits", "Unpack", "ValuesOnGrid"}
*)

The following returns a table of {t, v} steps:

soltab = Transpose@{Flatten@vIF@"Grid", vIF@"ValuesOnGrid"};

The following returns a table of {t, v, v'} including the values of the derivative v', in case you want to use the table to do Hermite interpolation in another application:

soltab = Transpose@{Flatten@vIF@"Grid", vIF@"ValuesOnGrid", vIF'@"ValuesOnGrid"};

But if you want an equal-step table, you can use Table and either sol or vIF:

soltab = Table[{t, v[t] /. sol}, {t, 0., 10.}]
soltab = Table[{t, vIF[t]}, {t, 0., 10.}]

The tables can be exported as Bill Nelson shows:

Export["file.csv", soltab]