Let's divide 514432 by 38
Our goal is to divide 514432 by 38.

Going ahead to step 1:
If we divide 5 by 38, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 38

Let's proceed to step 2:
The number 38 fits into 51 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 38 away from 51, we end up with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 38

Going ahead to step 3:
If we divide 134 by 38, we get 3 and a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 114 from 134, we get 20.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 38

On to step 4:
38 can be fit into 204 5 times, resulting in a remainder of 14.
The next digit of our result is 5. 
Result so far: 135.0
The remainder is 14 after subtracting 190 from 204.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 38

Moving on to step 5:
143 divided by 38 is 3 with a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 1353.0
Subtract 114 from 143 to get 29.
Grab the next digit (2) from the dividend, add it to 29, then carry on: 292 / 38

Step 6:
38 goes into 292 7 times with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 13537.0
If we subtract 266 from 292, we get 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 7:
The number 38 fits into 260 6 times, leaving a remainder of 32.
The next digit of our result is 6. 
Result so far: 13537.6
Deduct 228 from 260 and we're left with 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 8:
38 goes into 320 8 times with a remainder of 16.
The next digit of our result is 8. 
Result so far: 13537.68
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.

Step 9:
38 goes into 160 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 13537.684
Subtract 152 from 160 to 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.

Step 10:
If we divide 80 by 38, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 13537.6842
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.

Advancing to step 11:
If we divide 40 by 38, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 13537.68421
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.

Going ahead to step 12:
When dividing 20 by 38, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 13537.68421
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.

Let's proceed to step 13:
When dividing 200 by 38, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 13537.6842105
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.

Step 14:
When dividing 100 by 38, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 13537.68421052
If we take 76 away from 100, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Our division results in 13537.68421052 with a remaining 2.4e-08.