Div divis divisible

Determine how many 10001000 digit numbers AA have the following property:

When any digit of AA, aside from the first, is deleted to form a 999999 digit number BB, then BB divides AA.

Details and assumptions

As an explicit example, the number 1000 is a 4-digit number that satisfies the above property.

The number 12=01212=012 is a 2-digit number, not a 3-digit number.

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