We're dividing 643185 by 65 
Our goal is to divide 643185 by 65.

Advancing to step 1:
The number 65 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 65

Moving on to step 2:
If we divide 64 by 65, we get 0 and a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Fetch the next digit (3) from the dividend, attach it to 64 and continue: 643 / 65

Going ahead to step 3:
65 goes into 643 9 times with a remainder of 58.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 585 from 643 and we're left with 58.
Include the next digit (1) from the dividend after 58, then repeat: 581 / 65

Let's proceed to step 4:
581 divided by 65 is 8 with a remainder of 61.
The next digit of our result is 8. 
Result so far: 98.0
If we take 520 away from 581, we end up with 61.
Grab the next digit (8) from the dividend, add it to 61, then carry on: 618 / 65

Step 5:
If we divide 618 by 65, we get 9 and a remainder of 33.
Put 9 as the next digit of the answer. 
Result so far: 989.0
The remainder is 33 after subtracting 585 from 618.
Grab the next digit (5) from the dividend, add it to 33, then carry on: 335 / 65

Advancing to step 6:
The number 65 fits into 335 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 9895.0
If we take 325 away from 335, we end up with 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 7:
When dividing 100 by 65, we get 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 9895.1
If we take 65 away from 100, we end up 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 8:
350 divided by 65 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 9895.15
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 9:
If we divide 250 by 65, we get 3 and a remainder of 55.
The next digit of our result is 3. 
Result so far: 9895.153
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.

On to step 10:
550 divided by 65 is 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 9895.1538
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.

On to step 11:
When dividing 300 by 65, we get 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 9895.15384
If we subtract 260 from 300, we 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.

Moving on to step 12:
65 goes into 400 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 9895.153846
If we take 390 away from 400, we end up with 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 13:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 9895.1538461
Subtracting 65 from 100 leaves us 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.

Step 14:
When dividing 350 by 65, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 9895.15384615
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.

The final outcome is 9895.15384615, with a leftover of 2.5e-08.