We're dividing 51819314 by 517 
We're looking to find how many times 517 goes into 51819314.

Advancing to step 1:
517 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 517

Step 2:
517 goes into 51 0 times with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Include the next digit (8) from the dividend after 51, then repeat: 518 / 517

Going ahead to step 3:
517 can be fit into 518 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 517 from 518 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 517

Going ahead to step 4:
If we divide 11 by 517, we get 0 and a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 11, we end up with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 517

Advancing to step 5:
When dividing 119 by 517, we get 0 with a remainder of 119.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
Subtract 0 from 119 to get 119.
Append the next digit (3) from the dividend to 119 and continue with: 1193 / 517

Let's proceed to step 6:
The number 517 fits into 1193 2 times, leaving a remainder of 159.
The number 2 becomes the next digit in our result. 
Result so far: 1002.0
If we subtract 1034 from 1193, we get 159.
Fetch the next digit (1) from the dividend, attach it to 159 and continue: 1591 / 517

On to step 7:
517 goes into 1591 3 times with a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 10023.0
Subtracting 1551 from 1591 leaves us with 40.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 517

Moving on to step 8:
The number 517 fits into 404 0 times, leaving a remainder of 404.
The next digit of our result is 0. 
Result so far: 100230.0
Subtract 0 from 404 to get 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Advancing to step 9:
When dividing 4040 by 517, we get 7 with a remainder of 421.
The next digit of our result is 7. 
Result so far: 100230.7
If we take 3619 away from 4040, we end up with 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4210, and continue the process.

Step 10:
517 goes into 4210 8 times with a remainder of 74.
Use 8 as the next digit of our solution. 
Result so far: 100230.78
If we subtract 4136 from 4210, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 11:
If we divide 740 by 517, we get 1 and a remainder of 223.
Use 1 as the next digit of our solution. 
Result so far: 100230.781
Subtracting 517 from 740 leaves us with 223.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2230, and continue the process.

Step 12:
When dividing 2230 by 517, we get 4 with a remainder of 162.
The number 4 becomes the next digit in our result. 
Result so far: 100230.7814
The remainder is 162 after subtracting 2068 from 2230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

Let's proceed to step 13:
If we divide 1620 by 517, we get 3 and a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 100230.78143
Subtracting 1551 from 1620 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 14:
517 can be fit into 690 1 times, resulting in a remainder of 173.
The number 1 becomes the next digit in our result. 
Result so far: 100230.781431
Subtracting 517 from 690 leaves us with 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

Going ahead to step 15:
517 goes into 1730 3 times with a remainder of 179.
Write down 3 as next digit of the result. 
Result so far: 100230.7814313
Deduct 1551 from 1730 and we're left with 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1790, and continue the process.

Let's proceed to step 16:
1790 divided by 517 is 3 with a remainder of 239.
Record the quotient 3 as the next digit in the result. 
Result so far: 100230.78143133
The remainder is 239 after subtracting 1551 from 1790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2390, and continue the process.

The final outcome is 100230.78143133, with a leftover of 2.39e-07.