Using the division algorithm, we have 39=7x5+4. Here the dividend is 39, the divisor is 7, the quotient q=5 and the remainder r= 4 and 0<4<7.

Peirce’s theory of signs and his classification from the point of view of the object of the sign (representant) is helpful in understand different ways to represent the long division algorithm. Peirce ...

While it may sound daunting, partial quotient algorithm (or partial quotient division) is a method for dividing numbers that's much more accessible than the familiar but more abstract long division.