181455 ÷ 51 
Our goal is to divide 181455 by 51.

Let's proceed to step 1:
If we divide 1 by 51, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 51

Advancing to step 2:
When dividing 18 by 51, we get 0 with a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 18 after subtracting 0 from 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 51

Let's proceed to step 3:
51 goes into 181 3 times with a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 153 from 181 and we're left with 28.
Fetch the next digit (4) from the dividend, attach it to 28 and continue: 284 / 51

Moving on to step 4:
284 divided by 51 is 5 with a remainder of 29.
The next digit of our result is 5. 
Result so far: 35.0
If we subtract 255 from 284, we get 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 51

Going ahead to step 5:
When dividing 295 by 51, we get 5 with a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 355.0
The remainder is 40 after subtracting 255 from 295.
Fetch the next digit (5) from the dividend, attach it to 40 and continue: 405 / 51

Moving on to step 6:
51 can be fit into 405 7 times, resulting in a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 3557.0
If we take 357 away from 405, we end up 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.

Let's proceed to step 7:
51 can be fit into 480 9 times, resulting in a remainder of 21.
The next digit of our result is 9. 
Result so far: 3557.9
If we take 459 away from 480, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
When dividing 210 by 51, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 3557.94
Subtracting 204 from 210 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 51, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 3557.941
Subtract 51 from 60 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 10:
51 goes into 90 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 3557.9411
If we take 51 away from 90, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final result is 3557.9411 with a remainder of 0.00039.