When a miner submits his work to the Node, the Node checks if the share is in the requested difficulty range. If it is, the share is valid, if it's too low it will be invalid and this rejected.
What you call « his work » does it mean : what seems to be a valid block for the miner ?
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A valid share does not equal a valid block, it just means the hash the miner sent is within expected value. To solve a block the difficulty needs to also be high enough.
So the hash is sent to the node and this one reply if this one is with suffisent number of 0 at the beginning ?