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Every time [sic] it is repaired, X gets knocked down by one. So after the first repair, it will be in "new" condition, except now it is (X-1)/(X-1).
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In the game I've been playing most recently, the denominator stays the same unless a "mistake" is made during the repair, in which case x becomes (x-1).
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Eventually X goes to 0 and the item is completely worthless and can't be repaired any more.
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Maybe when it reaches 0 durability, it's considered so fractured that you can no longer use it at all until fixed and need to pay a much larger amount to re-set or reforge an item, you need to find its base components again to replace things like an axe-handle or hilt, or you need to completely melt it back down again.
Of course we could just let the thing completely break, but then let broken items be recycleable. Matter is neither created nor destroyed, just warped out of shape until its unusable in its present form. You would not however be completely lacking new mithral if your mithral sword broke, you'd just have to melt it all down and start over from scratch, perhaps adding another ingot or two to make up for the amount burned off during forging.
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This should have a chance of making it more durable than before.
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Warning: Chance of inane remarks.
Caution: Possible chance of off-topic statements.
It's easy to clock more time than you've used in total. Just let the game run while you're away.