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: Because the divisor is not an integer, first convert the divisor into an integer of 12, and expand the divisor by the same multiple: 82 1.

Step 2: 82÷ 12=6 and the remainder is: 10.

Step 3: 10 1÷ 12=8 The remainder is: 5.

According to the above calculation steps, the comprehensive result is 68 and the remainder is 0.5.

Checking calculation: 68× 1.2+0.5=82. 1.

Extended data $ Check results: Four operation rules (first calculate in sequence, first multiply and divide, then add and subtract, first bracket, first power), namely disjoint operation (recursive equation calculation), should be carried out on the premise of this principle.

Problem solving process:

68× 1.2+0.5

=8 1.6+0.5

=82. 1

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