We're dividing 517808 by 38 
We want to figure out the number of times 517808 can be divided by 38.

Let's proceed to step 1:
38 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 38

Let's proceed to step 2:
51 divided by 38 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 38 away from 51, we end up with 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 38

Going ahead to step 3:
38 can be fit into 137 3 times, resulting in a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 114 from 137, we get 23.
Grab the next digit (8) from the dividend, add it to 23, then carry on: 238 / 38

Let's proceed to step 4:
38 can be fit into 238 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 136.0
Subtracting 228 from 238 leaves us with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 38

Advancing to step 5:
38 goes into 100 2 times with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 1362.0
Subtract 76 from 100 to get 24.
Append the next digit (8) from the dividend to 24 and continue with: 248 / 38

Step 6:
38 goes into 248 6 times with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 13626.0
Subtract 228 from 248 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
200 divided by 38 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 13626.5
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 13626.52
Deduct 76 from 100 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
240 divided by 38 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 13626.526
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
If we divide 120 by 38, we get 3 and a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 13626.5263
Subtracting 114 from 120 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
When dividing 60 by 38, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 13626.52631
Subtracting 38 from 60 leaves us with 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 12:
220 divided by 38 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 13626.526315
Subtracting 190 from 220 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
The number 38 fits into 300 7 times, leaving a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 13626.5263157
Subtracting 266 from 300 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 14:
When dividing 340 by 38, we get 8 with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 13626.52631578
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 13626.52631578 with a balance of 3.6e-08.