We're dividing 413085 by 65 
We want to figure out the number of times 413085 can be divided by 65.

Moving on to step 1:
65 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 65

Advancing to step 2:
When dividing 41 by 65, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 65

Step 3:
If we divide 413 by 65, we get 6 and a remainder of 23.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 390 from 413 to get 23.
Take the next digit (0) from the dividend and append it to 23, then repeat: 230 / 65

On to step 4:
65 can be fit into 230 3 times, resulting in a remainder of 35.
The next digit of our result is 3. 
Result so far: 63.0
The remainder is 35 after subtracting 195 from 230.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 65

Advancing to step 5:
65 goes into 358 5 times with a remainder of 33.
Use 5 as the next digit of our solution. 
Result so far: 635.0
Deduct 325 from 358 and we're left with 33.
Take the next digit (5) from the dividend and append it to 33, then repeat: 335 / 65

Step 6:
When dividing 335 by 65, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6355.0
Subtract 325 from 335 to 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.

Advancing to step 7:
65 can be fit into 100 1 times, resulting in a remainder of 35.
The next digit of our result is 1. 
Result so far: 6355.1
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.

On to step 8:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6355.15
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.

Step 9:
65 goes into 250 3 times with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 6355.153
Subtract 195 from 250 to 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.

Advancing to step 10:
When dividing 550 by 65, we get 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 6355.1538
Subtract 520 from 550 to 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.

Step 11:
65 goes into 300 4 times with a remainder of 40.
The next digit of our result is 4. 
Result so far: 6355.15384
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.

Advancing to step 12:
400 divided by 65 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 6355.153846
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.

Step 13:
65 goes into 100 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 6355.1538461
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.

Step 14:
If we divide 350 by 65, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 6355.15384615
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.

Our division results in 6355.15384615 with a remaining 2.5e-08.