### Mathematics Class X

Real Numbers
Polynomials
Arithmetic Progressions
Triangles
Coordinate Geometry
Introduction to Trigonometry
Circles
Constructions
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability

# Euclid’s Division Lemma

It is basically the restatement of the usual division system. The formal statement for this is-

For each pair of given positive integers a and b, there exist unique whole numbers q and r which satisfies the relation

a = bq + r, 0 ≤ r < b, where q and r can also be Zero.

Where ‘a’ is a dividend, ‘b’ is divisor, ‘q’ is quotient and ‘r’ is remainder.

∴ Dividend = (DivisorQuotient) + Remainder

Scroll to Top