519341 divided by 38 
We're looking to find how many times 38 goes into 519341.

Advancing to step 1:
When dividing 5 by 38, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 38

Moving on to step 2:
38 goes into 51 1 times with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 38 from 51 leaves us with 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 38

Advancing to step 3:
139 divided by 38 is 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 114 from 139 leaves us with 25.
Grab the next digit (3) from the dividend, add it to 25, then carry on: 253 / 38

Step 4:
If we divide 253 by 38, we get 6 and a remainder of 25.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
The remainder is 25 after subtracting 228 from 253.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 38

Step 5:
38 can be fit into 254 6 times, resulting in a remainder of 26.
The next digit of our result is 6. 
Result so far: 1366.0
Subtracting 228 from 254 leaves us with 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 38

Moving on to step 6:
38 goes into 261 6 times with a remainder of 33.
Write down 6 as next digit of the result. 
Result so far: 13666.0
Subtract 228 from 261 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
When dividing 330 by 38, we get 8 with a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 13666.8
The remainder is 26 after subtracting 304 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
260 divided by 38 is 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 13666.86
The remainder is 32 after subtracting 228 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
If we divide 320 by 38, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 13666.868
If we take 304 away from 320, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
If we divide 160 by 38, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 13666.8684
Deduct 152 from 160 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
When dividing 80 by 38, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 13666.86842
Deduct 76 from 80 and we're left 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.

Let's proceed to step 12:
38 can be fit into 40 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 13666.868421
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
When dividing 20 by 38, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 13666.868421
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 13666.86842105
Subtract 190 from 200 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 13666.86842105, and the remainder is 1e-08.