5 cool math tricks ft. Technicality

That Chinese remainder theory didnt work!!!
Lets use the number 23 as the picked number.
Now 23 divided by 7 = 3 with a remainder 2, 23 divided by 11 = 2 with a remainder of 1 and 23 divided by 13 = 1 with a remainder of 10.
So lets take 2 x 715=1430, 1 x 364=364 and 10 x 924=9240
1430+364+9240=11034
11034-6006=5028
It didnt work... i tired it with 75 and that also didnt work.
Thanks for making me look completely stupid in front of my friends. Never subscribing...