Modulo Division/Examples/Arbitrary Example 3

Example of Modulo Division

$4 \div_m 5 \equiv 8 \pmod {12}$

Proof

We have:

\(\ds 5 \times 8\)

\(=\)

\(\ds 40\)

\(\ds \)

\(\equiv\)

\(\ds 4\)

\(\ds \pmod {12}\)

\(\ds \leadsto \ \ \)

\(\ds 4 \div_m 5\)

\(\equiv\)

\(\ds 8\)

\(\ds \pmod {12}\)

$\blacksquare$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): division modulo $n$
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): division modulo $n$