We divide 576414 by 65
Our goal is to divide 576414 by 65.

Advancing to step 1:
When dividing 5 by 65, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 65

Moving on to step 2:
If we divide 57 by 65, we get 0 and a remainder of 57.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 57 after subtracting 0 from 57.
Append the next digit (6) from the dividend to 57 and continue with: 576 / 65

Going ahead to step 3:
65 goes into 576 8 times with a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 520 from 576 leaves us with 56.
Grab the next digit (4) from the dividend, add it to 56, then carry on: 564 / 65

Moving on to step 4:
65 can be fit into 564 8 times, resulting in a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 88.0
Deduct 520 from 564 and we're left with 44.
Grab the next digit (1) from the dividend, add it to 44, then carry on: 441 / 65

Let's proceed to step 5:
65 can be fit into 441 6 times, resulting in a remainder of 51.
Use 6 as the next digit of our solution. 
Result so far: 886.0
If we subtract 390 from 441, we get 51.
Take the next digit (4) from the dividend and append it to 51, then repeat: 514 / 65

On to step 6:
The number 65 fits into 514 7 times, leaving a remainder of 59.
The next digit of our result is 7. 
Result so far: 8867.0
If we subtract 455 from 514, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 7:
65 goes into 590 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 8867.9
Subtract 585 from 590 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
50 divided by 65 is 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 8867.9
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
If we divide 500 by 65, we get 7 and a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 8867.907
Deduct 455 from 500 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 10:
The number 65 fits into 450 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 8867.9076
If we take 390 away from 450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
If we divide 600 by 65, we get 9 and a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 8867.90769
Deduct 585 from 600 and we're left with 15.
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 12:
When dividing 150 by 65, we get 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 8867.907692
If we take 130 away from 150, we end up 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.

Advancing to step 13:
200 divided by 65 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 8867.9076923
Subtract 195 from 200 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
When dividing 50 by 65, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 8867.9076923
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.

After the division, we end up with 8867.9076923 and a remainder of 5e-08.