18259 ÷ 4 = 4564 R3
We're going to perform division on 18259 with 4 as the divisor.

Step 1:
4 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

Step 2:
4 goes into 18 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 16 from 18 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 4

Step 3:
4 goes into 22 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 45
Subtract 20 from 22 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 4

Step 4:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 456
Subtract 24 from 25 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 4

Step 5:
4 goes into 19 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 4564
Subtract 16 from 19 to get 3.

The final result is 4564 with a remainder of 3.