How reel position is calculated

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To determine the position of the first reel, the computer divides the first random number by a set value. Typically, slot machines divide by 32, 64,128, 256 or 512. In this example, we'll say the computer divides by 64.
When the computer divides the random number by the set value, it records the remainder of the quotient. In our example, it finds that 64 goes into 123,456,789 a total of 1,929,012 times with a remainder of 21.
Obviously, the remainder can't be more than 64 or less than 0, so there are only 64 possible end results of this calculation. The 64 possible values act as stops on a large virtual reel.
Each of the 64 stops on the virtual reel corresponds to one of the 22 stops on the actual reel. The computer consults a table that tells it how far to move the actual reel for a particular value on the virtual reel. Since there are far more virtual stops than actual stops, some of the actual stops will be linked to more than one virtual stop.