Let's divide 617291 by 65
Our goal is to divide 617291 by 65.

Advancing to step 1:
When dividing 6 by 65, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 65

Moving on to step 2:
When dividing 61 by 65, we get 0 with a remainder of 61.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 61, we get 61.
Bring next digit (7) of the dividend behind the 61 and repeat the process: 617 / 65

On to step 3:
65 goes into 617 9 times with a remainder of 32.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 585 from 617 and we're left with 32.
Include the next digit (2) from the dividend after 32, then repeat: 322 / 65

On to step 4:
The number 65 fits into 322 4 times, leaving a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 94.0
If we take 260 away from 322, we end up with 62.
Fetch the next digit (9) from the dividend, attach it to 62 and continue: 629 / 65

Moving on to step 5:
When dividing 629 by 65, we get 9 with a remainder of 44.
The number 9 becomes the next digit in our result. 
Result so far: 949.0
Subtract 585 from 629 to get 44.
Bring next digit (1) of the dividend behind the 44 and repeat the process: 441 / 65

Going ahead to step 6:
When dividing 441 by 65, we get 6 with a remainder of 51.
Write down 6 as next digit of the result. 
Result so far: 9496.0
If we take 390 away from 441, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 7:
65 can be fit into 510 7 times, resulting in a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 9496.7
If we subtract 455 from 510, 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.

Going ahead to step 8:
65 goes into 550 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 9496.78
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:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The next digit of our result is 4. 
Result so far: 9496.784
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
If we divide 400 by 65, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 9496.7846
The remainder is 10 after subtracting 390 from 400.
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:
If we divide 100 by 65, we get 1 and a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 9496.78461
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:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 9496.784615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 13:
65 goes into 250 3 times with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 9496.7846153
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.

Step 14:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 9496.78461538
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.

After the division, we end up with 9496.78461538 and a remainder of 3e-08.