755866 ÷ 14 
We're looking to find how many times 14 goes into 755866.

Moving on to step 1:
The number 14 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 14

Going ahead to step 2:
75 divided by 14 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 70 from 75, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 14

Advancing to step 3:
55 divided by 14 is 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
If we subtract 42 from 55, we get 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 14

Step 4:
14 goes into 138 9 times with a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 539.0
Subtracting 126 from 138 leaves us with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 14

Step 5:
14 goes into 126 9 times with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 5399.0
Deduct 126 from 126 and we're left with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 14

Going ahead to step 6:
6 divided by 14 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 53990.0
Deduct 0 from 6 and we're left 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.

Step 7:
If we divide 60 by 14, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 53990.4
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
The number 14 fits into 40 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 53990.42
Deduct 28 from 40 and we're left 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.

On to step 9:
14 goes into 120 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 53990.428
Subtract 112 from 120 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.

On to step 10:
14 goes into 80 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 53990.4285
Subtract 70 from 80 to get 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 11:
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: 53990.42857
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 12:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 53990.428571
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.

Let's proceed to step 13:
14 can be fit into 60 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 53990.4285714
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.

Going ahead to step 14:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 53990.42857142
Subtract 28 from 40 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 53990.42857142 with a balance of 1.2e-08.