We look at the division of 509190 by 38 
We want to divide 509190 by 38.

Step 1:
38 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 38

Moving on to step 2:
If we divide 50 by 38, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 38 from 50 to get 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 38

Advancing to step 3:
The number 38 fits into 129 3 times, leaving a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 114 from 129 to get 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 38

Let's proceed to step 4:
38 goes into 151 3 times with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 133.0
If we subtract 114 from 151, we get 37.
Grab the next digit (9) from the dividend, add it to 37, then carry on: 379 / 38

Moving on to step 5:
38 goes into 379 9 times with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 1339.0
Subtracting 342 from 379 leaves us with 37.
Fetch the next digit (0) from the dividend, attach it to 37 and continue: 370 / 38

Let's proceed to step 6:
If we divide 370 by 38, we get 9 and a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 13399.0
If we subtract 342 from 370, we get 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 7:
280 divided by 38 is 7 with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 13399.7
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
When dividing 140 by 38, we get 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 13399.73
Subtracting 114 from 140 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
When dividing 260 by 38, we get 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 13399.736
Subtract 228 from 260 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
The number 38 fits into 320 8 times, leaving a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 13399.7368
If we subtract 304 from 320, 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.

Let's proceed to step 11:
160 divided by 38 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 13399.73684
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
When dividing 80 by 38, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 13399.736842
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
38 goes into 40 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 13399.7368421
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 13399.7368421
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 13399.7368421 with a balance of 2e-08.