We're dividing 317875 by 51 
We're looking to find how many times 51 goes into 317875.

Moving on to step 1:
3 divided by 51 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 51

Advancing to step 2:
The number 51 fits into 31 0 times, leaving a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 51

Step 3:
51 goes into 317 6 times with a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 306 from 317, we get 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 51

Step 4:
The number 51 fits into 118 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Subtracting 102 from 118 leaves us with 16.
Append the next digit (7) from the dividend to 16 and continue with: 167 / 51

Advancing to step 5:
If we divide 167 by 51, we get 3 and a remainder of 14.
The next digit of our result is 3. 
Result so far: 623.0
Deduct 153 from 167 and we're left with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 51

Moving on to step 6:
If we divide 145 by 51, we get 2 and a remainder of 43.
Put 2 as the next digit of the answer. 
Result so far: 6232.0
Subtracting 102 from 145 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
430 divided by 51 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 6232.8
The remainder is 22 after subtracting 408 from 430.
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:
220 divided by 51 is 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 6232.84
If we subtract 204 from 220, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
When dividing 160 by 51, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 6232.843
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
51 goes into 70 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 6232.8431
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.

Advancing to step 11:
If we divide 190 by 51, we get 3 and a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 6232.84313
Deduct 153 from 190 and we're left 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.

On to step 12:
The number 51 fits into 370 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 6232.843137
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:
The number 51 fits into 130 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 6232.8431372
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.

Advancing to step 14:
51 goes into 280 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6232.84313725
The remainder is 25 after subtracting 255 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 6232.84313725, with a leftover of 2.5e-08.