Having a chain of "instanceof" operations is considered a "code smell". The standard answer is "use polymorphism". How would I do it in this case?

There are a number of subclasses of a base class; none of them are under my control. An analogous situation would be with the Java classes Integer, Double, BigDecimal etc.

if (obj instanceof Integer) {NumberStuff.handle((Integer)obj);}
else if (obj instanceof BigDecimal) {BigDecimalStuff.handle((BigDecimal)obj);}
else if (obj instanceof Double) {DoubleStuff.handle((Double)obj);}

I do have control over NumberStuff and so on.

I don't want to use many lines of code where a few lines would do. (Sometimes I make a HashMap mapping Integer.class to an instance of IntegerStuff, BigDecimal.class to an instance of BigDecimalStuff etc. But today I want something simpler.)

I'd like something as simple as this:

public static handle(Integer num) { ... }
public static handle(BigDecimal num) { ... }

But Java just doesn't work that way.

I'd like to use static methods when formatting. The things I'm formatting are composite, where a Thing1 can contain an array Thing2s and a Thing2 can contain an array of Thing1s. I had a problem when I implemented my formatters like this:

class Thing1Formatter {
  private static Thing2Formatter thing2Formatter = new Thing2Formatter();
  public format(Thing thing) {
      thing2Formatter.format(thing.innerThing2);
  }
}
class Thing2Formatter {
  private static Thing1Formatter thing1Formatter = new Thing1Formatter();
  public format(Thing2 thing) {
      thing1Formatter.format(thing.innerThing1);
  }
}

Yes, I know the HashMap and a bit more code can fix that too. But the "instanceof" seems so readable and maintainable by comparison. Is there anything simple but not smelly?