We're dividing 610563 by 65 
Our goal is to divide 610563 by 65.

Going ahead to step 1:
If we divide 6 by 65, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 65

On to step 2:
If we divide 61 by 65, we get 0 and a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 61, we get 61.
Take the next digit (0) from the dividend and append it to 61, then repeat: 610 / 65

Advancing to step 3:
The number 65 fits into 610 9 times, leaving a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 585 away from 610, we end up with 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 65

Going ahead to step 4:
If we divide 255 by 65, we get 3 and a remainder of 60.
Use 3 as the next digit of our solution. 
Result so far: 93.0
Subtract 195 from 255 to get 60.
Fetch the next digit (6) from the dividend, attach it to 60 and continue: 606 / 65

Step 5:
If we divide 606 by 65, we get 9 and a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 939.0
Subtract 585 from 606 to get 21.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 65

Step 6:
213 divided by 65 is 3 with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 9393.0
Subtract 195 from 213 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
65 can be fit into 180 2 times, resulting in a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 9393.2
Subtracting 130 from 180 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.

Advancing to step 8:
500 divided by 65 is 7 with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 9393.27
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 9:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 9393.276
Deduct 390 from 450 and we're left 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.

Step 10:
600 divided by 65 is 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 9393.2769
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.

Let's proceed to step 11:
65 goes into 150 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 9393.27692
If we subtract 130 from 150, we get 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:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 9393.276923
Deduct 195 from 200 and we're left 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.

On to step 13:
50 divided by 65 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 9393.276923
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.

On to step 14:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 9393.27692307
Subtracting 455 from 500 leaves us 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.

The final outcome is 9393.27692307, with a leftover of 4.5e-08.