using System;

public class Program

{

    public static void Main()

    {

        var stringList = new System.Collections.Generic.List<string>();

        var jsonInput = "['888890','89100403','89100044','89100053','']";

        jsonInput = jsonInput.Replace("'", '"'.ToString());

        System.Collections.Generic.List<string> parsedJson = Newtonsoft.Json.JsonConvert.DeserializeObject(jsonInput, stringList.GetType()) as System.Collections.Generic.List<string>;

        foreach(var element in parsedJson)

        {

            Console.WriteLine(element.ToString());

        }

    }

}