How to find the mode ( remainder)?

HOW TO FIND THE MODE ( REMNDER THEOREM)

1) 263 mod 14 = 11 (How?)

 2) 123456 mod 224 = 32 (How?)


Type-II

1) 5^54 mod 4 = 1 (How?)

2) 30^3245 mod 29 = 1 (How?)


Type-III

1) 5^32 mod 224 = 193 (How ?)

2) 5^35 mod 224 = 157 (How?)

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