Why this happened ?

[Hurd8x]

Bro, good day or night ;)

Why resulted private key after dividing is bigger then a devided privkey ?

root@C.2635410:~/ecctools$ ./modmath 0x100000000000000000000000000000
0 / 30240
Result: 61cb720c761cb720c761cb720c761cb6a4811d64db34aaa77c3500a19c342
679

Ho to manipulate with keys for get result < then a
0x100000000000000000000000000000 ??

Thanks !

[Hurd8x]

And this additional, why then divide to 7 and 6 I get BIIIG PRIVKEYS ?

oot@C.2635410:~/ecctools$ ./modmath 0x1000000000000000000 / 2
Result: 800000000000000000

root@C.2635410:~/ecctools$ ./modmath 0x1000000000000000000 / 4
Result: 400000000000000000

root@C.2635410:~/ecctools$ ./modmath 0x1000000000000000000 / 6
Result: 55555555555555555555555555555554e8e4f44ce5183593ea9b74d99abcc
06b

root@C.2635410:~/ecctools$ ./modmath 0x1000000000000000000 / 7
Result: 49249249249249249249249249249248c79facd43214c035a4853f95f258a
4ee

root@C.2635410:~/ecctools$ ./modmath 0x1000000000000000000 / 8
Result: 200000000000000000

root@C.2635410:~/ecctools$

[albertobsd]

All those results are correct.

Only exact divisions get a Lower number than the original divided key.

Why this happened because all the divisions are a multiplication by the inverse mod N

[Hurd8x]

Thanks