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: 82÷2 1=3 The remainder is: 19.

Step 2: 19 1÷2 1=9 The remainder is 2.

According to the above calculation steps, the combined result is 39 and the remainder is 2.

Checking calculation: 39×2 1+2=82 1.

Expand data → check results: The four operation rules (multiplication and division first, then addition and subtraction, then parenthesis and then power), that is, disjoint operation (recursive equation calculation) must be carried out on the premise of this principle.

Problem solving process:

39×2 1+2

=8 19+2

=82 1

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