Let's divide 636906 by 51
Our goal is to divide 636906 by 51.

Step 1:
The number 51 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 51

Let's proceed to step 2:
If we divide 63 by 51, we get 1 and a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 51 from 63 to get 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 51

Moving on to step 3:
The number 51 fits into 126 2 times, leaving a remainder of 24.
The next digit of our result is 2. 
Result so far: 12.0
If we take 102 away from 126, we end up with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 51

Going ahead to step 4:
51 can be fit into 249 4 times, resulting in a remainder of 45.
Write down 4 as next digit of the result. 
Result so far: 124.0
Subtracting 204 from 249 leaves us with 45.
Take the next digit (0) from the dividend and append it to 45, then repeat: 450 / 51

On to step 5:
51 can be fit into 450 8 times, resulting in a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 1248.0
Deduct 408 from 450 and we're left with 42.
Fetch the next digit (6) from the dividend, attach it to 42 and continue: 426 / 51

Advancing to step 6:
When dividing 426 by 51, we get 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 12488.0
Subtract 408 from 426 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
180 divided by 51 is 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 12488.3
Deduct 153 from 180 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 8:
If we divide 270 by 51, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 12488.35
The remainder is 15 after subtracting 255 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
51 can be fit into 150 2 times, resulting in a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 12488.352
Deduct 102 from 150 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 10:
51 can be fit into 480 9 times, resulting in a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 12488.3529
If we subtract 459 from 480, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 11:
210 divided by 51 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 12488.35294
If we take 204 away from 210, we end up 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.

Advancing to step 12:
51 can be fit into 60 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 12488.352941
Deduct 51 from 60 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
51 can be fit into 90 1 times, resulting in a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 12488.3529411
Subtracting 51 from 90 leaves us 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.

In conclusion, the division gives 12488.3529411 with a balance of 3.9e-07.