What the steps mean

Each row takes the current left-to-right partial dividend, finds the next quotient digit, subtracts the matching product, and carries the remainder forward.

This follows the same schoolbook structure students write by hand rather than repeated subtraction of the whole dividend.

Division identity

Every whole-number division result fits the form extdividend=extdivisorcdotextquotient+extremainderext{dividend}= ext{divisor}cdot ext{quotient}+ ext{remainder}.

The remainder must always stay smaller than the divisor.