413788 ÷ 65 
We're looking to find how many times 65 goes into 413788.

Let's proceed to step 1:
65 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 65

Advancing to step 2:
65 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 65

On to step 3:
When dividing 413 by 65, we get 6 with a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 390 from 413 leaves us with 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 65

Advancing to step 4:
237 divided by 65 is 3 with a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
If we take 195 away from 237, we end up with 42.
Append the next digit (8) from the dividend to 42 and continue with: 428 / 65

Let's proceed to step 5:
When dividing 428 by 65, we get 6 with a remainder of 38.
The number 6 becomes the next digit in our result. 
Result so far: 636.0
Subtracting 390 from 428 leaves us with 38.
Fetch the next digit (8) from the dividend, attach it to 38 and continue: 388 / 65

Let's proceed to step 6:
If we divide 388 by 65, we get 5 and a remainder of 63.
The number 5 becomes the next digit in our result. 
Result so far: 6365.0
If we subtract 325 from 388, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 7:
If we divide 630 by 65, we get 9 and a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 6365.9
Subtracting 585 from 630 leaves us 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.

Moving on to step 8:
When dividing 450 by 65, we get 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 6365.96
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 9:
65 can be fit into 600 9 times, resulting in a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 6365.969
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
If we divide 150 by 65, we get 2 and a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 6365.9692
Subtracting 130 from 150 leaves us 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:
200 divided by 65 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 6365.96923
If we take 195 away from 200, we end up 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.

Let's proceed to step 12:
65 can be fit into 50 0 times, resulting in a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 6365.96923
Deduct 0 from 50 and we're left 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.

On to step 13:
If we divide 500 by 65, we get 7 and a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 6365.9692307
Subtract 455 from 500 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.

Advancing to step 14:
450 divided by 65 is 6 with a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 6365.96923076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final outcome is 6365.96923076, with a leftover of 6e-08.