We look at the division of 510421 by 38 
We want to figure out the number of times 510421 can be divided by 38.

Let's proceed to step 1:
5 divided by 38 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 38

Going ahead to step 2:
The number 38 fits into 51 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 38 from 51 leaves us with 13.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 38

Step 3:
38 goes into 130 3 times with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtract 114 from 130 to get 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 38

Advancing to step 4:
164 divided by 38 is 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 134.0
If we subtract 152 from 164, we get 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 38

Advancing to step 5:
If we divide 122 by 38, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 1343.0
The remainder is 8 after subtracting 114 from 122.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 38

Step 6:
38 can be fit into 81 2 times, resulting in a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 13432.0
Deduct 76 from 81 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
50 divided by 38 is 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 13432.1
If we subtract 38 from 50, we 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.

Moving on to step 8:
The number 38 fits into 120 3 times, leaving a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 13432.13
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
60 divided by 38 is 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 13432.131
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 10:
When dividing 220 by 38, we get 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 13432.1315
If we take 190 away from 220, we end up 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.

Step 11:
When dividing 300 by 38, we get 7 with a remainder of 34.
The next digit of our result is 7. 
Result so far: 13432.13157
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.

Moving on to step 12:
If we divide 340 by 38, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 13432.131578
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 13:
When dividing 360 by 38, we get 9 with a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 13432.1315789
If we take 342 away from 360, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 13432.13157894
If we subtract 152 from 180, 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.

The final outcome is 13432.13157894, with a leftover of 2.8e-08.