In the same way you might see someone referencing Array.find (when in fact .find only exists on Array.prototype), .write exists on the prototype of Document, not on the Document constructor itself.
console.log(Document.prototype.hasOwnProperty('write'));
document.write works because document inherits from Document.prototype.
MDN's usage of Document.write is meant to convey that .write can be called on any instance of Document, even though the document constructor itself doesn't have that property.
It's possible to call .write from the prototype, if you wanted:
Document.prototype.write.call(
document, // call on *this HTML document*
'<div>foobar</div>' // first argument passed to .write
);