45760 ÷ 2 = 22880 R0
Alright, let's work through the division of 45760 by 2 step by step.

Step 1:
2 goes into 4 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 4 from 4 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Step 2:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 22
Subtract 4 from 5 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 2

Step 3:
2 goes into 17 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 228
Subtract 16 from 17 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

Step 4:
2 goes into 16 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 2288
Subtract 16 from 16 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 2

Step 5:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 22880
Subtract 0 from 0 to get 0.

The final result is 22880 with a remainder of 0.