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 25, and the dividend will be expanded by the same multiple: 344.

Step 2: 34÷25= 1 The remainder is 9.

Step 3: 94÷25=3, and the remainder is 19.

According to the above calculation steps, the quotient of the combined result is 13, and the remainder is 1.9.

Checking calculation: 13×2.5+ 1.9=34.4.

Extended data => Inspection result: Four operation rules (calculation in sequence, first multiplication and division, then addition and subtraction, first parenthesis, first power), that is, disjoint operation (recursive equation calculation), should be carried out under this principle.

Problem solving process:

13×2.5+ 1.9

=32.5+ 1.9

=34.4

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