We're dividing 413177 by 65 
We're looking to find how many times 65 goes into 413177.

On to step 1:
If we divide 4 by 65, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 65

On to step 2:
If we divide 41 by 65, we get 0 and a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Grab the next digit (3) from the dividend, add it to 41, then carry on: 413 / 65

Step 3:
The number 65 fits into 413 6 times, leaving 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.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 65

Let's proceed to step 4:
When dividing 231 by 65, we get 3 with a remainder of 36.
Put 3 as the next digit of the answer. 
Result so far: 63.0
The remainder is 36 after subtracting 195 from 231.
Include the next digit (7) from the dividend after 36, then repeat: 367 / 65

On to step 5:
367 divided by 65 is 5 with a remainder of 42.
Record the quotient 5 as the next digit in the result. 
Result so far: 635.0
Deduct 325 from 367 and we're left with 42.
Fetch the next digit (7) from the dividend, attach it to 42 and continue: 427 / 65

Advancing to step 6:
When dividing 427 by 65, we get 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 6356.0
If we subtract 390 from 427, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
The number 65 fits into 370 5 times, leaving a remainder of 45.
The next digit of our result is 5. 
Result so far: 6356.5
Subtract 325 from 370 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
450 divided by 65 is 6 with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 6356.56
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.

Let's proceed to step 9:
65 goes into 600 9 times with a remainder of 15.
The next digit of our result is 9. 
Result so far: 6356.569
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 10:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 6356.5692
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.

Let's proceed to step 11:
If we divide 200 by 65, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 6356.56923
Subtracting 195 from 200 leaves us 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.

Moving on to step 12:
If we divide 50 by 65, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 6356.56923
If we take 0 away from 50, we end up 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 13:
When dividing 500 by 65, we get 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 6356.5692307
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 14:
65 goes into 450 6 times with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 6356.56923076
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 6356.56923076 with a remaining 6e-08.