Update column in all databases

Thank you both for the supplied solution.
@Andrei Fomitchev  Your solution works, but I had to correct some parts of the sql. The System databases aren't need so I've added "WHERE database_id > 4 "
Adding the Where clause during the actual update isn't needed in my situation as the updated table always has only one record in it and always must be updated.
Updated version that works:

DECLARE @sql nvarchar(1000);
DECLARE @dbName sysname;
DECLARE @tbName sysname;
DECLARE @clName sysname;
SET @tbName = 'DBversie';
SET @clName = 'ESversie';
DECLARE crDB CURSOR FOR SELECT name FROM sys.databases WHERE database_id > 4 ORDER BY name; -- NO System databases
OPEN crDB;
WHILE 1=1 BEGIN
   FETCH NEXT FROM crDB INTO @dbName;
   IF @@FETCH_STATUS <> 0 BREAK
--   ...
   SET @sql = 'UPDATE ['+@dbName+'].[dbo].['+@tbName+']  SET ['+@clName+']=''1.2.0.0'' '
   EXEC (@sql) -- For debug replace it with PRINT @sql to watch what will be executed.
--    ...
END;
CLOSE crDB;
DEALLOCATE crDB;

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@pcelba This solution is very easy to implement en easy to understand. I ended up using "sp_ineachdb" from First Responder Kit as the "sp_msForEachDB" doesn't handle database with a space in their name (and has many other limitations which by the way I don't need for this purpose).
Based on these remarks I gave my rating.

DECLARE @sql nvarchar(1000)
SET @sql = 'USE ?;IF EXISTS (SELECT * FROM INFORMATION_SCHEMA.TABLES WHERE TABLE_NAME = ''DBversie'') UPDATE dbo.DBversie SET ESversie = ''my value'''
EXEC sp_inEachDB @sql

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If your database contains spaces in name then you may simply enclose it into brackets and it should work in sp_msForEachDB:

SET @sql = 'USE [?];IF EXISTS (SELECT * FROM ....

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OTOH, Ozar's tools are great.