We're dividing 765887 by 65 
Let's see how many times 65 fits into 765887.

Going ahead to step 1:
7 divided by 65 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 65

Moving on to step 2:
65 can be fit into 76 1 times, resulting in a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 65 from 76 and we're left with 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 65

Step 3:
115 divided by 65 is 1 with a remainder of 50.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 65 from 115 leaves us with 50.
Append the next digit (8) from the dividend to 50 and continue with: 508 / 65

Let's proceed to step 4:
When dividing 508 by 65, we get 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 117.0
If we subtract 455 from 508, we get 53.
Bring next digit (8) of the dividend behind the 53 and repeat the process: 538 / 65

Let's proceed to step 5:
The number 65 fits into 538 8 times, leaving a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 1178.0
Subtract 520 from 538 to get 18.
Fetch the next digit (7) from the dividend, attach it to 18 and continue: 187 / 65

Going ahead to step 6:
187 divided by 65 is 2 with a remainder of 57.
Write down 2 as next digit of the result. 
Result so far: 11782.0
Deduct 130 from 187 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 7:
When dividing 570 by 65, we get 8 with a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 11782.8
The remainder is 50 after subtracting 520 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 11782.87
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 9:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 11782.876
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
600 divided by 65 is 9 with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 11782.8769
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 11:
If we divide 150 by 65, we get 2 and a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 11782.87692
Deduct 130 from 150 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
65 goes into 200 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 11782.876923
Subtracting 195 from 200 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.

Moving on to step 13:
65 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 11782.876923
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 14:
When dividing 500 by 65, we get 7 with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 11782.87692307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final outcome is 11782.87692307, with a leftover of 4.5e-08.