We're dividing 317133 by 51 
We're looking to find how many times 51 goes into 317133.

Step 1:
When dividing 3 by 51, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 51

Advancing to step 2:
If we divide 31 by 51, we get 0 and a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 51

Step 3:
When dividing 317 by 51, we get 6 with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 306 from 317, we get 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 51

Going ahead to step 4:
111 divided by 51 is 2 with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we subtract 102 from 111, we get 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 51

On to step 5:
When dividing 93 by 51, we get 1 with a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 621.0
The remainder is 42 after subtracting 51 from 93.
Grab the next digit (3) from the dividend, add it to 42, then carry on: 423 / 51

Let's proceed to step 6:
51 can be fit into 423 8 times, resulting in a remainder of 15.
The next digit of our result is 8. 
Result so far: 6218.0
If we subtract 408 from 423, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
150 divided by 51 is 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 6218.2
The remainder is 48 after subtracting 102 from 150.
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 8:
480 divided by 51 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 6218.29
If we subtract 459 from 480, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 9:
210 divided by 51 is 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 6218.294
Subtract 204 from 210 to get 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 10:
If we divide 60 by 51, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 6218.2941
If we take 51 away from 60, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 11:
51 goes into 90 1 times with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 6218.29411
The remainder is 39 after subtracting 51 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 6218.29411, and the remainder is 3.9e-05.