515136 divided by 38 
We're looking to find how many times 38 goes into 515136.

Moving on to step 1:
If we divide 5 by 38, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 38

Step 2:
If we divide 51 by 38, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 38 from 51 to get 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 38

Moving on to step 3:
135 divided by 38 is 3 with a remainder of 21.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 114 from 135 leaves us with 21.
Take the next digit (1) from the dividend and append it to 21, then repeat: 211 / 38

Let's proceed to step 4:
If we divide 211 by 38, we get 5 and a remainder of 21.
Put 5 as the next digit of the answer. 
Result so far: 135.0
The remainder is 21 after subtracting 190 from 211.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 38

Step 5:
213 divided by 38 is 5 with a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 1355.0
If we take 190 away from 213, we end up with 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 38

Step 6:
When dividing 236 by 38, we get 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 13556.0
Subtracting 228 from 236 leaves us 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 7:
38 can be fit into 80 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 13556.2
Subtract 76 from 80 to get 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 8:
38 goes into 40 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 13556.21
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 13556.21
If we take 0 away from 20, we end up 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.

Step 10:
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: 13556.2105
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.

Moving on to step 11:
If we divide 100 by 38, we get 2 and a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 13556.21052
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
If we divide 240 by 38, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 13556.210526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
The number 38 fits into 120 3 times, leaving a remainder of 6.
The next digit of our result is 3. 
Result so far: 13556.2105263
If we take 114 away from 120, we end up 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.

Let's proceed to step 14:
38 goes into 60 1 times with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 13556.21052631
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.

The final result is 13556.21052631 with a remainder of 2.2e-08.