Solution: Divide every bit of the dividend from the high position, keep the quotient obtained by each calculation, and add the next bit to the remainder for operation. After all the digits of the dividend are operated in this order, the obtained quotients are combined in order, and the remainder is the result of the last operation.

Problem solving process:

Step 1: 87÷9=9, and the remainder is 6.

Step 2: 62÷9=6, and the remainder is 8.

According to the above calculation steps, the quotient of the combined result is 96 and the remainder is 8.

Checking calculation: 96×9+8=872

Extended data checking and calculation: four operation rules (multiplication and division first, addition and subtraction first, parenthesis first, power second), namely disjoint operation (recursive equation calculation), should be carried out under this principle.

Problem solving process:

96×9+8

=864+8

=872

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