We divide 781275 by 77
We want to figure out the number of times 781275 can be divided by 77.

Advancing to step 1:
When dividing 7 by 77, we get 0 with 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.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 77

On to step 2:
When dividing 78 by 77, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 77 from 78 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 77

Step 3:
The number 77 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 11, we end up with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 77

Moving on to step 4:
If we divide 112 by 77, we get 1 and a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 101.0
The remainder is 35 after subtracting 77 from 112.
Grab the next digit (7) from the dividend, add it to 35, then carry on: 357 / 77

Going ahead to step 5:
77 goes into 357 4 times with a remainder of 49.
Record the quotient 4 as the next digit in the result. 
Result so far: 1014.0
The remainder is 49 after subtracting 308 from 357.
Bring next digit (5) of the dividend behind the 49 and repeat the process: 495 / 77

On to step 6:
77 goes into 495 6 times with a remainder of 33.
Record the quotient 6 as the next digit in the result. 
Result so far: 10146.0
The remainder is 33 after subtracting 462 from 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
77 goes into 330 4 times with a remainder of 22.
The next digit of our result is 4. 
Result so far: 10146.4
Subtracting 308 from 330 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
The number 77 fits into 220 2 times, leaving a remainder of 66.
The next digit of our result is 2. 
Result so far: 10146.42
Subtract 154 from 220 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 9:
660 divided by 77 is 8 with a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 10146.428
If we take 616 away from 660, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
If we divide 440 by 77, we get 5 and a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 10146.4285
If we subtract 385 from 440, 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.

Advancing to step 11:
77 goes into 550 7 times with a remainder of 11.
The next digit of our result is 7. 
Result so far: 10146.42857
Deduct 539 from 550 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 12:
77 can be fit into 110 1 times, resulting in a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 10146.428571
Subtract 77 from 110 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 13:
The number 77 fits into 330 4 times, leaving a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 10146.4285714
Subtracting 308 from 330 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 14:
77 can be fit into 220 2 times, resulting in a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 10146.42857142
Subtracting 154 from 220 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final result is 10146.42857142 with a remainder of 6.6e-08.