We look at the division of 577631 by 14 
We want to figure out the number of times 577631 can be divided by 14.

Advancing to step 1:
5 divided by 14 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 14

Advancing to step 2:
When dividing 57 by 14, we get 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 1 after subtracting 56 from 57.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 14

Step 3:
14 can be fit into 17 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
If we subtract 14 from 17, we get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 14

Moving on to step 4:
14 can be fit into 36 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 412.0
Subtract 28 from 36 to get 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 14

Moving on to step 5:
If we divide 83 by 14, we get 5 and a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 4125.0
If we subtract 70 from 83, we get 13.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 14

Step 6:
When dividing 131 by 14, we get 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 41259.0
Deduct 126 from 131 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.

Advancing to step 7:
50 divided by 14 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 41259.3
The remainder is 8 after subtracting 42 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
80 divided by 14 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 41259.35
Deduct 70 from 80 and we're left 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 9:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 41259.357
Deduct 98 from 100 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
When dividing 20 by 14, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 41259.3571
The remainder is 6 after subtracting 14 from 20.
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 11:
When dividing 60 by 14, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 41259.35714
If we take 56 away from 60, we end up 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.

On to step 12:
14 goes into 40 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 41259.357142
Subtracting 28 from 40 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
14 can be fit into 120 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 41259.3571428
If we take 112 away from 120, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 41259.35714285
Deduct 70 from 80 and we're left 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.

In conclusion, the division gives 41259.35714285 with a balance of 1e-08.