Let's divide 2597608 by 256
We're looking to find how many times 256 goes into 2597608.

Moving on to step 1:
2 divided by 256 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 256

Moving on to step 2:
The number 256 fits into 25 0 times, leaving a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 256

Let's proceed to step 3:
256 goes into 259 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 256 from 259, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 256

Step 4:
256 can be fit into 37 0 times, resulting in a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 37 and we're left with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 256

Let's proceed to step 5:
256 goes into 376 1 times with a remainder of 120.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Subtracting 256 from 376 leaves us with 120.
Fetch the next digit (0) from the dividend, attach it to 120 and continue: 1200 / 256

Advancing to step 6:
The number 256 fits into 1200 4 times, leaving a remainder of 176.
The next digit of our result is 4. 
Result so far: 1014.0
Subtracting 1024 from 1200 leaves us with 176.
Grab the next digit (8) from the dividend, add it to 176, then carry on: 1768 / 256

Step 7:
When dividing 1768 by 256, we get 6 with a remainder of 232.
Put 6 as the next digit of the answer. 
Result so far: 10146.0
Subtract 1536 from 1768 to get 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Let's proceed to step 8:
256 goes into 2320 9 times with a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 10146.9
Deduct 2304 from 2320 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
If we divide 160 by 256, we get 0 and a remainder of 160.
The number 0 becomes the next digit in our result. 
Result so far: 10146.9
Subtract 0 from 160 to get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Moving on to step 10:
When dividing 1600 by 256, we get 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 10146.906
If we take 1536 away from 1600, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 11:
The number 256 fits into 640 2 times, leaving a remainder of 128.
Write down 2 as next digit of the result. 
Result so far: 10146.9062
Subtracting 512 from 640 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

On to step 12:
256 can be fit into 1280 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 10146.90625
The remainder is 0 after subtracting 1280 from 1280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 13:
When dividing 0 by 256, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10146.90625
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 14:
0 divided by 256 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10146.90625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 10146.90625 with a remainder of 0.0.