We look at the division of 761588 by 65 
Our goal is to divide 761588 by 65.

Advancing to step 1:
65 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 65

Let's proceed to step 2:
65 can be fit into 76 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 65 away from 76, we end up with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 65

Going ahead to step 3:
If we divide 111 by 65, we get 1 and a remainder of 46.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 65 away from 111, we end up with 46.
Grab the next digit (5) from the dividend, add it to 46, then carry on: 465 / 65

Moving on to step 4:
465 divided by 65 is 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 117.0
The remainder is 10 after subtracting 455 from 465.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 65

On to step 5:
When dividing 108 by 65, we get 1 with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 1171.0
If we subtract 65 from 108, we get 43.
Fetch the next digit (8) from the dividend, attach it to 43 and continue: 438 / 65

Going ahead to step 6:
65 can be fit into 438 6 times, resulting in a remainder of 48.
The next digit of our result is 6. 
Result so far: 11716.0
If we take 390 away from 438, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
The number 65 fits into 480 7 times, leaving a remainder of 25.
The next digit of our result is 7. 
Result so far: 11716.7
Subtracting 455 from 480 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.

Step 8:
65 goes into 250 3 times with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 11716.73
If we take 195 away from 250, we end up 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.

Going ahead to step 9:
The number 65 fits into 550 8 times, leaving a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 11716.738
If we subtract 520 from 550, we get 30.
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 10:
65 goes into 300 4 times with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 11716.7384
The remainder is 40 after subtracting 260 from 300.
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 11:
400 divided by 65 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 11716.73846
If we subtract 390 from 400, 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.

Let's proceed to step 12:
65 goes into 100 1 times with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 11716.738461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 13:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 11716.7384615
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 11716.73846153
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.

Our division results in 11716.73846153 with a remaining 5.5e-08.