781262 ÷ 65 
Our goal is to divide 781262 by 65.

Let's proceed to step 1:
When dividing 7 by 65, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 65

Advancing 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
Deduct 65 from 78 and we're left with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 65

Let's proceed to step 3:
65 can be fit into 131 2 times, resulting in a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 130 from 131 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 65

Moving on to step 4:
If we divide 12 by 65, we get 0 and a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
If we subtract 0 from 12, we get 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 65

Step 5:
65 can be fit into 126 1 times, resulting in a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 1201.0
If we take 65 away from 126, we end up with 61.
Fetch the next digit (2) from the dividend, attach it to 61 and continue: 612 / 65

On to step 6:
When dividing 612 by 65, we get 9 with a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 12019.0
Subtract 585 from 612 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
The number 65 fits into 270 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 12019.4
Subtracting 260 from 270 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
65 goes into 100 1 times with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 12019.41
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 9:
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: 12019.415
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.

Step 10:
If we divide 250 by 65, we get 3 and a remainder of 55.
The next digit of our result is 3. 
Result so far: 12019.4153
If we subtract 195 from 250, we 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.

On to step 11:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 12019.41538
Subtract 520 from 550 to 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.

Advancing to step 12:
300 divided by 65 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 12019.415384
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.

Step 13:
The number 65 fits into 400 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 12019.4153846
Subtract 390 from 400 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.

Advancing to step 14:
100 divided by 65 is 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 12019.41538461
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.

The final result is 12019.41538461 with a remainder of 3.5e-08.