Let's divide 181874 by 51
We want to divide 181874 by 51.

Going ahead to step 1:
When dividing 1 by 51, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 51

Going ahead to step 2:
51 can be fit into 18 0 times, resulting in a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 51

Moving on to step 3:
181 divided by 51 is 3 with a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 153 away from 181, we end up with 28.
Bring next digit (8) of the dividend behind the 28 and repeat the process: 288 / 51

Let's proceed to step 4:
288 divided by 51 is 5 with a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 35.0
If we subtract 255 from 288, we get 33.
Take the next digit (7) from the dividend and append it to 33, then repeat: 337 / 51

Let's proceed to step 5:
337 divided by 51 is 6 with a remainder of 31.
Write down 6 as next digit of the result. 
Result so far: 356.0
Subtract 306 from 337 to get 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 51

Moving on to step 6:
51 goes into 314 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 3566.0
If we take 306 away from 314, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
51 goes into 80 1 times with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 3566.1
If we subtract 51 from 80, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
51 goes into 290 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 3566.15
The remainder is 35 after subtracting 255 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
51 goes into 350 6 times with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 3566.156
If we subtract 306 from 350, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 10:
The number 51 fits into 440 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 3566.1568
Subtracting 408 from 440 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
51 goes into 320 6 times with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 3566.15686
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
140 divided by 51 is 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 3566.156862
If we take 102 away from 140, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 13:
The number 51 fits into 380 7 times, leaving a remainder of 23.
The next digit of our result is 7. 
Result so far: 3566.1568627
The remainder is 23 after subtracting 357 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 14:
If we divide 230 by 51, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 3566.15686274
The remainder is 26 after subtracting 204 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 3566.15686274 with a remaining 2.6e-08.