788720 ÷ 65 
Our goal is to divide 788720 by 65.

Step 1:
If we divide 7 by 65, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 65

Let's proceed to step 2:
When dividing 78 by 65, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 65 away from 78, we end up with 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 65

On to step 3:
If we divide 138 by 65, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 130 from 138 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 65

Going ahead to step 4:
65 can be fit into 87 1 times, resulting in a remainder of 22.
The next digit of our result is 1. 
Result so far: 121.0
Deduct 65 from 87 and we're left with 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 65

Step 5:
When dividing 222 by 65, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 1213.0
Subtracting 195 from 222 leaves us with 27.
Take the next digit (0) from the dividend and append it to 27, then repeat: 270 / 65

Step 6:
270 divided by 65 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 12134.0
Subtract 260 from 270 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.

Going ahead to step 7:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 12134.1
Deduct 65 from 100 and we're left 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.

Advancing to step 8:
350 divided by 65 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 12134.15
If we take 325 away from 350, we end up 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.

On to step 9:
When dividing 250 by 65, we get 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 12134.153
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 10:
If we divide 550 by 65, we get 8 and a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 12134.1538
Subtracting 520 from 550 leaves us with 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 11:
300 divided by 65 is 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 12134.15384
If we take 260 away from 300, we end up 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.

Let's proceed to step 12:
If we divide 400 by 65, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 12134.153846
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.

On to step 13:
65 goes into 100 1 times with a remainder of 35.
The next digit of our result is 1. 
Result so far: 12134.1538461
The remainder is 35 after subtracting 65 from 100.
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 14:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 12134.15384615
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.

The final outcome is 12134.15384615, with a leftover of 2.5e-08.