506200 ÷ 38 
Let's see how many times 38 fits into 506200.

Moving on to step 1:
The number 38 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
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

On to step 2:
If we divide 50 by 38, we get 1 and a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 38 from 50 leaves us with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 38

Let's proceed to step 3:
126 divided by 38 is 3 with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 114 away from 126, we end up with 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 38

Step 4:
38 can be fit into 122 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 133.0
Subtract 114 from 122 to get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 38

Let's proceed to step 5:
38 can be fit into 80 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 1332.0
Subtracting 76 from 80 leaves us with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 38

Let's proceed to step 6:
40 divided by 38 is 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 13321.0
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.

On to step 7:
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: 13321.0
If we subtract 0 from 20, we 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.

Moving on to step 8:
38 goes into 200 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 13321.05
If we take 190 away from 200, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
38 can be fit into 100 2 times, resulting in a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 13321.052
If we subtract 76 from 100, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
When dividing 240 by 38, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 13321.0526
Deduct 228 from 240 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
The number 38 fits into 120 3 times, leaving a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 13321.05263
Deduct 114 from 120 and we're left 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.

On to step 12:
38 goes into 60 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 13321.052631
The remainder is 22 after subtracting 38 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
When dividing 220 by 38, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 13321.0526315
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.

Advancing to step 14:
When dividing 300 by 38, we get 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 13321.05263157
Subtract 266 from 300 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 13321.05263157 with a balance of 3.4e-08.