We're dividing 9555351 by 256 
We want to figure out the number of times 9555351 can be divided by 256.

Moving on to step 1:
256 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 256

Advancing to step 2:
256 can be fit into 95 0 times, resulting in a remainder of 95.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 95 leaves us with 95.
Append the next digit (5) from the dividend to 95 and continue with: 955 / 256

Going ahead to step 3:
955 divided by 256 is 3 with a remainder of 187.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 768 from 955 and we're left with 187.
Append the next digit (5) from the dividend to 187 and continue with: 1875 / 256

Moving on to step 4:
The number 256 fits into 1875 7 times, leaving a remainder of 83.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we take 1792 away from 1875, we end up with 83.
Grab the next digit (3) from the dividend, add it to 83, then carry on: 833 / 256

On to step 5:
256 can be fit into 833 3 times, resulting in a remainder of 65.
Use 3 as the next digit of our solution. 
Result so far: 373.0
The remainder is 65 after subtracting 768 from 833.
Append the next digit (5) from the dividend to 65 and continue with: 655 / 256

On to step 6:
The number 256 fits into 655 2 times, leaving a remainder of 143.
Use 2 as the next digit of our solution. 
Result so far: 3732.0
Subtract 512 from 655 to get 143.
Append the next digit (1) from the dividend to 143 and continue with: 1431 / 256

Step 7:
256 goes into 1431 5 times with a remainder of 151.
Record the quotient 5 as the next digit in the result. 
Result so far: 37325.0
Subtracting 1280 from 1431 leaves us with 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

Step 8:
1510 divided by 256 is 5 with a remainder of 230.
Use 5 as the next digit of our solution. 
Result so far: 37325.5
If we take 1280 away from 1510, we end up with 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

Let's proceed to step 9:
The number 256 fits into 2300 8 times, leaving a remainder of 252.
Record the quotient 8 as the next digit in the result. 
Result so far: 37325.58
Subtracting 2048 from 2300 leaves us with 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

On to step 10:
If we divide 2520 by 256, we get 9 and a remainder of 216.
Record the quotient 9 as the next digit in the result. 
Result so far: 37325.589
If we subtract 2304 from 2520, we get 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Going ahead to step 11:
The number 256 fits into 2160 8 times, leaving a remainder of 112.
Write down 8 as next digit of the result. 
Result so far: 37325.5898
Subtracting 2048 from 2160 leaves us with 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Moving on to step 12:
The number 256 fits into 1120 4 times, leaving a remainder of 96.
The number 4 becomes the next digit in our result. 
Result so far: 37325.58984
Subtracting 1024 from 1120 leaves us with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Step 13:
If we divide 960 by 256, we get 3 and a remainder of 192.
The number 3 becomes the next digit in our result. 
Result so far: 37325.589843
The remainder is 192 after subtracting 768 from 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Advancing to step 14:
When dividing 1920 by 256, we get 7 with a remainder of 128.
The next digit of our result is 7. 
Result so far: 37325.5898437
Deduct 1792 from 1920 and we're left 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.

Moving on to step 15:
If we divide 1280 by 256, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 37325.58984375
Subtract 1280 from 1280 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.

After the division, we end up with 37325.58984375 and a remainder of 0.0.