2559035 ÷ 128 
Our goal is to divide 2559035 by 128.

Going ahead to step 1:
If we divide 2 by 128, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 128

On to step 2:
128 can be fit into 25 0 times, resulting in a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Append the next digit (5) from the dividend to 25 and continue with: 255 / 128

Step 3:
The number 128 fits into 255 1 times, leaving a remainder of 127.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 128 from 255 leaves us with 127.
Append the next digit (9) from the dividend to 127 and continue with: 1279 / 128

Going ahead to step 4:
1279 divided by 128 is 9 with a remainder of 127.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we subtract 1152 from 1279, we get 127.
Fetch the next digit (0) from the dividend, attach it to 127 and continue: 1270 / 128

Moving on to step 5:
1270 divided by 128 is 9 with a remainder of 118.
Write down 9 as next digit of the result. 
Result so far: 199.0
Subtracting 1152 from 1270 leaves us with 118.
Bring next digit (3) of the dividend behind the 118 and repeat the process: 1183 / 128

Let's proceed to step 6:
When dividing 1183 by 128, we get 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 1999.0
If we take 1152 away from 1183, we end up with 31.
Grab the next digit (5) from the dividend, add it to 31, then carry on: 315 / 128

Advancing to step 7:
128 goes into 315 2 times with a remainder of 59.
The next digit of our result is 2. 
Result so far: 19992.0
The remainder is 59 after subtracting 256 from 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 8:
128 goes into 590 4 times with a remainder of 78.
Record the quotient 4 as the next digit in the result. 
Result so far: 19992.4
The remainder is 78 after subtracting 512 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 9:
128 can be fit into 780 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 19992.46
The remainder is 12 after subtracting 768 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
128 goes into 120 0 times with a remainder of 120.
Use 0 as the next digit of our solution. 
Result so far: 19992.46
If we take 0 away from 120, we end up with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Advancing to step 11:
If we divide 1200 by 128, we get 9 and a remainder of 48.
Put 9 as the next digit of the answer. 
Result so far: 19992.4609
Deduct 1152 from 1200 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 12:
128 can be fit into 480 3 times, resulting in a remainder of 96.
The number 3 becomes the next digit in our result. 
Result so far: 19992.46093
The remainder is 96 after subtracting 384 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

On to step 13:
When dividing 960 by 128, we get 7 with a remainder of 64.
Record the quotient 7 as the next digit in the result. 
Result so far: 19992.460937
Subtracting 896 from 960 leaves us 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.

Let's proceed to step 14:
640 divided by 128 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 19992.4609375
Deduct 640 from 640 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 15:
128 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 19992.4609375
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 19992.4609375 and a remainder of 0.0.