We look at the division of 766715 by 71 
We want to divide 766715 by 71.

Let's proceed to step 1:
The number 71 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 71

Moving on to step 2:
The number 71 fits into 76 1 times, leaving a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 5 after subtracting 71 from 76.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 71

Step 3:
71 can be fit into 56 0 times, resulting in a remainder of 56.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 56 leaves us with 56.
Grab the next digit (7) from the dividend, add it to 56, then carry on: 567 / 71

Moving on to step 4:
When dividing 567 by 71, we get 7 with a remainder of 70.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
Subtracting 497 from 567 leaves us with 70.
Grab the next digit (1) from the dividend, add it to 70, then carry on: 701 / 71

Moving on to step 5:
701 divided by 71 is 9 with a remainder of 62.
Write down 9 as next digit of the result. 
Result so far: 1079.0
Deduct 639 from 701 and we're left with 62.
Take the next digit (5) from the dividend and append it to 62, then repeat: 625 / 71

Advancing to step 6:
The number 71 fits into 625 8 times, leaving a remainder of 57.
Write down 8 as next digit of the result. 
Result so far: 10798.0
The remainder is 57 after subtracting 568 from 625.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 7:
71 goes into 570 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 10798.8
Subtracting 568 from 570 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
The number 71 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10798.8
Subtract 0 from 20 to get 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 9:
200 divided by 71 is 2 with a remainder of 58.
The number 2 becomes the next digit in our result. 
Result so far: 10798.802
If we take 142 away from 200, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 10:
71 goes into 580 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 10798.8028
If we take 568 away from 580, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
71 can be fit into 120 1 times, resulting in a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 10798.80281
The remainder is 49 after subtracting 71 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 12:
490 divided by 71 is 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 10798.802816
If we subtract 426 from 490, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 13:
71 can be fit into 640 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 10798.8028169
If we subtract 639 from 640, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
If we divide 10 by 71, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 10798.8028169
If we subtract 0 from 10, 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 quotient of the division is 10798.8028169, and the remainder is 1e-08.