High-level trial and error method is a method to convert multi-level division into intra-table division according to the high-level digits in divisor and the dividend to be divided, and determine the number of quotient digits in turn by using multiplication formula.
Quotient is a mathematical term, and the formula is: (dividend-remainder) ÷ divisor = quotient, and it's called dividend ÷ divisor = quotient ... remainder. In the division formula, the relationship between dividend, remainder, divisor and quotient is: (dividend-remainder) ÷ divisor = quotient, which is recorded as dividend ÷ divisor = quotient ... remainder, and then the quotient × divisor+remainder = dividend is derived.
Law of quotient invariance and law of product variation
First, the law of quotient invariance
1, dividend and divisor are expanded or reduced by the same multiple at the same time, and the quotient remains unchanged.
2. In division, the divisor is constant, the divisor is expanded (or reduced) several times, but the quotient is reduced (or expanded) by the same times.
3. In division, if the divisor remains the same, the dividend will be expanded (or reduced) several times, and the quotient will also be expanded (or reduced) by the same multiple.
Second, the law of product change
When two factors are multiplied, one factor remains unchanged, how many times the other factor is expanded (or reduced), and the product is also expanded (or reduced) by the same multiple.