B=52, and the maximum remainder is less than the divisor.
Three digits m = 53a+52 = 53 (a+1)-1.
That is, three digits are multiples of 53-1.
1000÷53≈ 18.9
18x53=954 is the largest three digits.
That is a+ 1= 18.
a= 17
The maximum value of a+b = 17+52=69.
Law of division:
Operational properties of division
1, the dividend is enlarged (reduced) by n times, and the quotient is correspondingly enlarged (reduced) by n times under the condition that the divisor is unchanged.
2. The divisor is expanded (reduced) by n times, while the dividend is unchanged, and the quotient is correspondingly reduced (expanded) by n times.
3. Dividing the dividend by two divisors is equal to dividing by the product of these two divisors.
Partial correlation formula:
1, dividend = quotient
2. Dividend = divisor
3, divisor × quotient = dividend
4. Divider = (dividend-remainder) quotient
5, quotient = (dividend-remainder) ÷ divisor