We're dividing 631338 by 51 
We want to divide 631338 by 51.

Advancing to step 1:
If we divide 6 by 51, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 51

Step 2:
63 divided by 51 is 1 with a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 51 from 63 leaves us with 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 51

Going ahead to step 3:
When dividing 121 by 51, we get 2 with a remainder of 19.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 102 from 121 and we're left with 19.
Append the next digit (3) from the dividend to 19 and continue with: 193 / 51

Step 4:
When dividing 193 by 51, we get 3 with a remainder of 40.
The next digit of our result is 3. 
Result so far: 123.0
Deduct 153 from 193 and we're left with 40.
Fetch the next digit (3) from the dividend, attach it to 40 and continue: 403 / 51

Step 5:
If we divide 403 by 51, we get 7 and a remainder of 46.
Record the quotient 7 as the next digit in the result. 
Result so far: 1237.0
If we subtract 357 from 403, we get 46.
Bring next digit (8) of the dividend behind the 46 and repeat the process: 468 / 51

On to step 6:
When dividing 468 by 51, we get 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 12379.0
Subtract 459 from 468 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
51 goes into 90 1 times with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 12379.1
Deduct 51 from 90 and we're left 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.

Advancing to step 8:
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: 12379.17
Subtract 357 from 390 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 9:
330 divided by 51 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 12379.176
Subtracting 306 from 330 leaves us 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 10:
When dividing 240 by 51, we get 4 with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 12379.1764
If we take 204 away from 240, we end up 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 11:
When dividing 360 by 51, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 12379.17647
If we subtract 357 from 360, we get 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 12:
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: 12379.17647
The remainder is 30 after subtracting 0 from 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 13:
The number 51 fits into 300 5 times, leaving a remainder of 45.
The next digit of our result is 5. 
Result so far: 12379.1764705
Subtracting 255 from 300 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 14:
450 divided by 51 is 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 12379.17647058
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.

The final result is 12379.17647058 with a remainder of 4.2e-08.