We're dividing 638508 by 51 
Our goal is to divide 638508 by 51.

Step 1:
When dividing 6 by 51, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 51

Let's proceed to step 2:
When dividing 63 by 51, we get 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 51 from 63 leaves us with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 51

Let's proceed to step 3:
When dividing 128 by 51, we get 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 102 from 128 and we're left with 26.
Include the next digit (5) from the dividend after 26, then repeat: 265 / 51

On to step 4:
When dividing 265 by 51, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Deduct 255 from 265 and we're left with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 51

Let's proceed to step 5:
The number 51 fits into 100 1 times, leaving a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 1251.0
The remainder is 49 after subtracting 51 from 100.
Take the next digit (8) from the dividend and append it to 49, then repeat: 498 / 51

Going ahead to step 6:
If we divide 498 by 51, we get 9 and a remainder of 39.
The number 9 becomes the next digit in our result. 
Result so far: 12519.0
If we take 459 away from 498, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
51 can be fit into 390 7 times, resulting in a remainder of 33.
The next digit of our result is 7. 
Result so far: 12519.7
Subtracting 357 from 390 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
51 goes into 330 6 times with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 12519.76
Deduct 306 from 330 and we're left 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.

Advancing to step 9:
240 divided by 51 is 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 12519.764
Deduct 204 from 240 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
If we divide 360 by 51, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 12519.7647
Deduct 357 from 360 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
30 divided by 51 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 12519.7647
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
When dividing 300 by 51, we get 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 12519.764705
If we subtract 255 from 300, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 13:
If we divide 450 by 51, we get 8 and a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 12519.7647058
Subtracting 408 from 450 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 14:
When dividing 420 by 51, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 12519.76470588
The remainder is 12 after subtracting 408 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 12519.76470588 and a remainder of 1.2e-08.