We're dividing 675181 by 51 
We're looking to find how many times 51 goes into 675181.

Advancing to step 1:
When dividing 6 by 51, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 51

Let's proceed to step 2:
51 goes into 67 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 16 after subtracting 51 from 67.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 51

Moving on to step 3:
165 divided by 51 is 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 153 from 165, we get 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 51

Step 4:
51 goes into 121 2 times with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 132.0
The remainder is 19 after subtracting 102 from 121.
Include the next digit (8) from the dividend after 19, then repeat: 198 / 51

Moving on to step 5:
198 divided by 51 is 3 with a remainder of 45.
Write down 3 as next digit of the result. 
Result so far: 1323.0
If we subtract 153 from 198, we get 45.
Append the next digit (1) from the dividend to 45 and continue with: 451 / 51

Let's proceed to step 6:
451 divided by 51 is 8 with a remainder of 43.
Use 8 as the next digit of our solution. 
Result so far: 13238.0
The remainder is 43 after subtracting 408 from 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 7:
51 goes into 430 8 times with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 13238.8
If we subtract 408 from 430, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
51 can be fit into 220 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 13238.84
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
The number 51 fits into 160 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 13238.843
Subtract 153 from 160 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
70 divided by 51 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 13238.8431
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.

On to step 11:
If we divide 190 by 51, we get 3 and a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 13238.84313
Subtracting 153 from 190 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 12:
The number 51 fits into 370 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 13238.843137
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.

On to step 13:
130 divided by 51 is 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 13238.8431372
Subtracting 102 from 130 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 14:
51 goes into 280 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 13238.84313725
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.

Our division results in 13238.84313725 with a remaining 2.5e-08.