We're dividing 769249 by 71 
Our goal is to divide 769249 by 71.

Advancing to step 1:
If we divide 7 by 71, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 71

Step 2:
The number 71 fits into 76 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 71 from 76 and we're left with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 71

Going ahead to step 3:
71 can be fit into 59 0 times, resulting in a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 59 and we're left with 59.
Append the next digit (2) from the dividend to 59 and continue with: 592 / 71

Let's proceed to step 4:
The number 71 fits into 592 8 times, leaving a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
If we subtract 568 from 592, we get 24.
Grab the next digit (4) from the dividend, add it to 24, then carry on: 244 / 71

Let's proceed to step 5:
When dividing 244 by 71, we get 3 with a remainder of 31.
The next digit of our result is 3. 
Result so far: 1083.0
Deduct 213 from 244 and we're left with 31.
Grab the next digit (9) from the dividend, add it to 31, then carry on: 319 / 71

Moving on to step 6:
If we divide 319 by 71, we get 4 and a remainder of 35.
Put 4 as the next digit of the answer. 
Result so far: 10834.0
The remainder is 35 after subtracting 284 from 319.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
350 divided by 71 is 4 with a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 10834.4
The remainder is 66 after subtracting 284 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 8:
71 can be fit into 660 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 10834.49
The remainder is 21 after subtracting 639 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
The number 71 fits into 210 2 times, leaving a remainder of 68.
The next digit of our result is 2. 
Result so far: 10834.492
If we take 142 away from 210, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 10:
The number 71 fits into 680 9 times, leaving a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 10834.4929
Subtracting 639 from 680 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 11:
The number 71 fits into 410 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 10834.49295
Deduct 355 from 410 and we're left 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.

Advancing to step 12:
71 can be fit into 550 7 times, resulting in a remainder of 53.
The next digit of our result is 7. 
Result so far: 10834.492957
The remainder is 53 after subtracting 497 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 13:
The number 71 fits into 530 7 times, leaving a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 10834.4929577
Deduct 497 from 530 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 10834.4929577 with a remainder of 3.3e-07.