We're dividing 181771 by 51 
We're looking to find how many times 51 goes into 181771.

Step 1:
51 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 51

Moving on to step 2:
The number 51 fits into 18 0 times, leaving 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 can be fit into 181 3 times, resulting in a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 153 from 181 and we're left with 28.
Grab the next digit (7) from the dividend, add it to 28, then carry on: 287 / 51

On to step 4:
51 can be fit into 287 5 times, resulting in a remainder of 32.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtract 255 from 287 to get 32.
Bring next digit (7) of the dividend behind the 32 and repeat the process: 327 / 51

On to step 5:
If we divide 327 by 51, we get 6 and a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 356.0
If we take 306 away from 327, we end up with 21.
Fetch the next digit (1) from the dividend, attach it to 21 and continue: 211 / 51

Moving on to step 6:
51 goes into 211 4 times with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 3564.0
The remainder is 7 after subtracting 204 from 211.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
51 goes into 70 1 times with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 3564.1
If we subtract 51 from 70, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 8:
If we divide 190 by 51, we get 3 and a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 3564.13
The remainder is 37 after subtracting 153 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 9:
370 divided by 51 is 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 3564.137
If we take 357 away from 370, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
51 goes into 130 2 times with a remainder of 28.
The next digit of our result is 2. 
Result so far: 3564.1372
The remainder is 28 after subtracting 102 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
280 divided by 51 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3564.13725
Deduct 255 from 280 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 12:
51 goes into 250 4 times with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 3564.137254
Subtract 204 from 250 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 13:
If we divide 460 by 51, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 3564.1372549
Deduct 459 from 460 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
51 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 3564.1372549
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 3564.1372549 with a balance of 1e-08.