🕐 Modular Arithmetic Clock

Visualize remainder arithmetic through interactive circular counting

Step 0: value = 0

Remainder: 0

0 ≡ 0 (mod 8)

Set your parameters and press Play to start exploring modular arithmetic!

Modulus (m): 8

Count Target (any integer):

Step Size:

Animation Speed: 5 steps/sec

Loop Mode (infinite counting)

Show Equivalence Classes

Advanced Details

Integer	Remainder

Practice Exercises

If m = 12, what is 37 mod 12? Use the simulator to check your answer!

If m = 10, what is -23 mod 10? Remember: modular arithmetic always gives non-negative remainders!