We're dividing 779426 by 71 
We're looking to find how many times 71 goes into 779426.

On to step 1:
71 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 71

Advancing to step 2:
The number 71 fits into 77 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 71 from 77 and we're left with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 71

On to step 3:
The number 71 fits into 69 0 times, leaving a remainder of 69.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 69 leaves us with 69.
Grab the next digit (4) from the dividend, add it to 69, then carry on: 694 / 71

On to step 4:
When dividing 694 by 71, we get 9 with a remainder of 55.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
If we take 639 away from 694, we end up with 55.
Take the next digit (2) from the dividend and append it to 55, then repeat: 552 / 71

Advancing to step 5:
The number 71 fits into 552 7 times, leaving a remainder of 55.
The number 7 becomes the next digit in our result. 
Result so far: 1097.0
If we take 497 away from 552, we end up with 55.
Fetch the next digit (6) from the dividend, attach it to 55 and continue: 556 / 71

Going ahead to step 6:
71 goes into 556 7 times with a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 10977.0
If we subtract 497 from 556, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 7:
590 divided by 71 is 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 10977.8
Deduct 568 from 590 and we're left 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.

Moving on to step 8:
The number 71 fits into 220 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 10977.83
If we subtract 213 from 220, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
If we divide 70 by 71, we get 0 and a remainder of 70.
The next digit of our result is 0. 
Result so far: 10977.83
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 10:
700 divided by 71 is 9 with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 10977.8309
If we subtract 639 from 700, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 11:
610 divided by 71 is 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 10977.83098
Subtract 568 from 610 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
The number 71 fits into 420 5 times, leaving a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 10977.830985
Subtract 355 from 420 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 13:
The number 71 fits into 650 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 10977.8309859
If we take 639 away from 650, we end up 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.

Going ahead to step 14:
71 goes into 110 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 10977.83098591
Deduct 71 from 110 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final result is 10977.83098591 with a remainder of 3.9e-08.