The way to solve the problem: first align the last digit of the two multipliers, then use the second multipliers respectively, multiply each digit by one multiplier in turn from the last digit, and finally accumulate the calculation results into products. If the multiplier is decimal, the corresponding multiple can be expanded first, and then the product can be reduced by the corresponding multiple;

Problem solving process:

Step 1: 1× 172= 172.

Step 2: 2× 172=3440.

Step 3: 8× 172= 137600.

According to the above calculation results, the total is 14 12 12.

Checking calculation:141212 ÷ 821=172.

Extended data &; Check result: every bit of the dividend is divided from the high order, and the quotient obtained by each calculation is reserved, and the next bit is added to the remainder for operation. After all the digits of the dividend are calculated in this order, the obtained quotients are combined in order, and the remainder is the result of the last operation.

Problem solving process:

Step 1:1412 ÷ 821=1The remainder is: 59 1.

Step 2: 5911÷ 821= 7 and the remainder is: 164.

Step 3: 1642÷82 1=2 The remainder is 0.

According to the above calculation steps, the combined result is 172.

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