4579 ÷ 2 = 2289 R1
We're going to perform division on 4579 with 2 as the divisor.

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 (9) of the dividend behind the 1 and repeat the process: 19 / 2

Step 4:
2 goes into 19 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 2289
Subtract 18 from 19 to get 1.

The final result is 2289 with a remainder of 1.