784307 ÷ 65 
Our goal is to divide 784307 by 65.

Going ahead to step 1:
If we divide 7 by 65, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 65

On to step 2:
The number 65 fits into 78 1 times, leaving a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 65 from 78, we get 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 65

Let's proceed to step 3:
The number 65 fits into 134 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 130 away from 134, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 65

Advancing to step 4:
65 goes into 43 0 times with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 120.0
Subtract 0 from 43 to get 43.
Fetch the next digit (0) from the dividend, attach it to 43 and continue: 430 / 65

Step 5:
430 divided by 65 is 6 with a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 1206.0
The remainder is 40 after subtracting 390 from 430.
Grab the next digit (7) from the dividend, add it to 40, then carry on: 407 / 65

Let's proceed to step 6:
65 can be fit into 407 6 times, resulting in a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 12066.0
Subtract 390 from 407 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
When dividing 170 by 65, we get 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 12066.2
If we subtract 130 from 170, 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.

On to step 8:
400 divided by 65 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 12066.26
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.

On to step 9:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 12066.261
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.

Moving on to step 10:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 12066.2615
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.

Let's proceed to step 11:
When dividing 250 by 65, we get 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 12066.26153
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.

Step 12:
When dividing 550 by 65, we get 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 12066.261538
If we subtract 520 from 550, we 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.

On to step 13:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The next digit of our result is 4. 
Result so far: 12066.2615384
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 14:
400 divided by 65 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 12066.26153846
If we subtract 390 from 400, we 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.

The final outcome is 12066.26153846, with a leftover of 1e-08.