413301 ÷ 65 
We're looking to find how many times 65 goes into 413301.

Moving on to step 1:
65 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 65

Advancing to step 2:
65 can be fit into 41 0 times, resulting in a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 65

Advancing to step 3:
65 goes into 413 6 times with a remainder of 23.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 390 from 413, we get 23.
Bring next digit (3) of the dividend behind the 23 and repeat the process: 233 / 65

Advancing to step 4:
If we divide 233 by 65, we get 3 and a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Deduct 195 from 233 and we're left with 38.
Grab the next digit (0) from the dividend, add it to 38, then carry on: 380 / 65

Step 5:
380 divided by 65 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 635.0
Subtracting 325 from 380 leaves us with 55.
Append the next digit (1) from the dividend to 55 and continue with: 551 / 65

Advancing to step 6:
65 goes into 551 8 times with a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 6358.0
Deduct 520 from 551 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
When dividing 310 by 65, we get 4 with a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 6358.4
Subtracting 260 from 310 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.

Moving on to step 8:
65 goes into 500 7 times with a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 6358.47
If we take 455 away from 500, we end up 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.

Going ahead to step 9:
When dividing 450 by 65, we get 6 with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 6358.476
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:
65 goes into 600 9 times with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 6358.4769
If we take 585 away from 600, we end up 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.

Moving on to step 11:
65 goes into 150 2 times with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 6358.47692
Subtract 130 from 150 to 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.

Step 12:
When dividing 200 by 65, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 6358.476923
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:
65 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 6358.476923
If we subtract 0 from 50, we get 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:
500 divided by 65 is 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 6358.47692307
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.

The quotient of the division is 6358.47692307, and the remainder is 4.5e-08.