777565 ÷ 14 
Our goal is to divide 777565 by 14.

Let's proceed to step 1:
14 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 14

Let's proceed to step 2:
When dividing 77 by 14, we get 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 70 from 77 leaves us with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 14

Moving on to step 3:
If we divide 77 by 14, we get 5 and a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we take 70 away from 77, we end up with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 14

On to step 4:
When dividing 75 by 14, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 555.0
The remainder is 5 after subtracting 70 from 75.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 14

Step 5:
14 goes into 56 4 times with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 5554.0
The remainder is 0 after subtracting 56 from 56.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 14

Step 6:
14 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 55540.0
Subtracting 0 from 5 leaves us 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.

Let's proceed to step 7:
14 goes into 50 3 times with a remainder of 8.
The next digit of our result is 3. 
Result so far: 55540.3
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:
If we divide 80 by 14, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 55540.35
If we subtract 70 from 80, we 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.

Moving on to step 9:
If we divide 100 by 14, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 55540.357
The remainder is 2 after subtracting 98 from 100.
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:
20 divided by 14 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 55540.3571
Deduct 14 from 20 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.

On to step 11:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 55540.35714
Subtracting 56 from 60 leaves us 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.

Advancing to step 12:
When dividing 40 by 14, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 55540.357142
If we take 28 away from 40, we end up 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:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 55540.3571428
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.

Advancing 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: 55540.35714285
Subtracting 70 from 80 leaves us 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.

The final outcome is 55540.35714285, with a leftover of 1e-08.