Modulo Division/Examples/Arbitrary Example 1

Example of Modulo Division

$7 \div_m 2 = 8 \pmod 9$

Proof

We have:

\(\ds 2 \times 8\)

\(=\)

\(\ds 14\)

\(\ds \)

\(\equiv\)

\(\ds 7\)

\(\ds \pmod 9\)

\(\ds \leadsto \ \ \)

\(\ds 7 \div_m 2\)

\(=\)

\(\ds 8\)

\(\ds \pmod 9\)

$\blacksquare$

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 $n$