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There is no single division problem that is the hardest one in the world. When working division problems by hand, some people find one kind of problem harder than others, but everyone would not agree on which problem is hardest. When using a computer or calculator, all division problem have essentially equal difficulty.

There is no definitive answer to that, as difficulty will differ from person to person. One could argue that there are degrees of difficulty in different types of division problems. For instance:

  • 1 / 1 might be one of the easiest possible ones.
  • 2 / 1 could arguably be a little more difficult
  • 4 / 2 may perhaps be a little more difficult than that
  • 7 / 2 a bit harder
  • 3 / 7 harder still
  • pi / 7 again perhaps harder
  • pi / √2 may be even more so

These are very subjective statements. This order may make sense some, but to others, it may be easier to divide seven by two than four by two. This is akin to asking whose face is the prettiest. You could get a billion different answers and all of them correct from the point of view of those giving the answer.

Another point to made here is that it may not be possible to define a "hardest" division problem, as one could argue that it's always possible to take an existing problem and make it more difficult. This would be comparable to asking what the highest number is.

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