We're dividing 766193 by 65 
We want to divide 766193 by 65.

Going ahead to step 1:
65 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
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

Advancing to step 2:
76 divided by 65 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 65 from 76 leaves us with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 65

On to step 3:
116 divided by 65 is 1 with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 51 after subtracting 65 from 116.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 65

Step 4:
65 can be fit into 511 7 times, resulting in a remainder of 56.
The number 7 becomes the next digit in our result. 
Result so far: 117.0
Subtracting 455 from 511 leaves us with 56.
Include the next digit (9) from the dividend after 56, then repeat: 569 / 65

Moving on to step 5:
When dividing 569 by 65, we get 8 with a remainder of 49.
Put 8 as the next digit of the answer. 
Result so far: 1178.0
Subtract 520 from 569 to get 49.
Append the next digit (3) from the dividend to 49 and continue with: 493 / 65

Step 6:
493 divided by 65 is 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 11787.0
Deduct 455 from 493 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
The number 65 fits into 380 5 times, leaving a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 11787.5
Deduct 325 from 380 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
550 divided by 65 is 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 11787.58
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 11787.584
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 11787.5846
Subtract 390 from 400 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.

Advancing to step 11:
When dividing 100 by 65, we get 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 11787.58461
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
When dividing 350 by 65, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 11787.584615
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 13:
If we divide 250 by 65, we get 3 and a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 11787.5846153
If we subtract 195 from 250, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
When dividing 550 by 65, we get 8 with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 11787.58461538
Deduct 520 from 550 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 11787.58461538 with a balance of 3e-08.