Class is Almost Over

The gentlemen Dutch, English, Painter, and Writer are all teachers at the same secondary school. Each teacher teaches two different subjects. Furthermore:

• Three teachers teach Dutch language
• There is only one math teacher
• There are two teachers for chemistry
• Two teachers, Simon and mister English, teach history
• Peter doesn't teach Dutch language
• Steven is chemistry teacher
• Mister Dutch doesn't teach any course that is taught by Karl or mister Painter.

The Question: What is the full name of each teacher and which two subjects does each one teach?

In case anything has been missed:
The four first names are Karl, Peter, Simon, and Steven
The last four names are Dutch, English, Painter and Writer.
The classes are Chemistry, Dutch, History and Math.