Topic idea: Divide every digit of the dividend from the high position, keep the quotient obtained by each calculation, and add the next digit 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: 83÷22=3, and the remainder is 17.

Step 2: 17 1÷22=7, and the remainder is 17.

According to the above calculation steps, the combined result is 37 and the remainder is 17.

Checking calculation: 37×22+ 17=83 1.

Expand the four operation rules of data (calculation in sequence, first multiplication and division, then addition and subtraction, first parentheses, first power), that is, disjoint operation (recursive equation calculation) should be carried out on the premise of this principle.

Problem solving process:

37×22+ 17

=8 14+ 17

=83 1

If in doubt, please ask questions. If satisfied, please adopt them.