26259 ÷ 5 = 5251 R4
Let's divide 26259 by 5.

Step 1:
5 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 5

Step 2:
5 goes into 26 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 25 from 26 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 5

Step 3:
5 goes into 12 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 52
Subtract 10 from 12 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 5

Step 4:
5 goes into 25 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 525
Subtract 25 from 25 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 5

Step 5:
5 goes into 9 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 5251
Subtract 5 from 9 to get 4.

The final result is 5251 with a remainder of 4.