Take a five-digit-number and split it at some point between the digits into two shorter numbers (for instance 12345 could be split into 123 and 45), then multiply together the two shorter numbers. Take your original five-digit-number and divide by this product.
In our example this quotient would be 12345 / (123 x 45) = 2.23…
What is the highest this quotient can be, and what is the five-digit-number that achieves it?
Note: each of the two shorter numbers must start with a non-zero digit, so 12003 could split into 1 and 2003, or 1200 and 3, but not 12 x 003.