We look at the division of 770788 by 71 
We're looking to find how many times 71 goes into 770788.

Step 1:
71 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 71

Step 2:
The number 71 fits into 77 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 6 after subtracting 71 from 77.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 71

Step 3:
When dividing 60 by 71, we get 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 60 and we're left with 60.
Include the next digit (7) from the dividend after 60, then repeat: 607 / 71

Let's proceed to step 4:
71 goes into 607 8 times with a remainder of 39.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
If we subtract 568 from 607, we get 39.
Take the next digit (8) from the dividend and append it to 39, then repeat: 398 / 71

Let's proceed to step 5:
398 divided by 71 is 5 with a remainder of 43.
Record the quotient 5 as the next digit in the result. 
Result so far: 1085.0
If we subtract 355 from 398, we get 43.
Bring next digit (8) of the dividend behind the 43 and repeat the process: 438 / 71

Step 6:
If we divide 438 by 71, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 10856.0
If we take 426 away from 438, 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.

Advancing to step 7:
When dividing 120 by 71, we get 1 with a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 10856.1
If we take 71 away from 120, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 8:
490 divided by 71 is 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 10856.16
If we take 426 away from 490, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 9:
When dividing 640 by 71, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 10856.169
Subtracting 639 from 640 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
If we divide 10 by 71, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10856.169
Subtracting 0 from 10 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.

Going ahead to step 11:
100 divided by 71 is 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 10856.16901
The remainder is 29 after subtracting 71 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 12:
If we divide 290 by 71, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 10856.169014
If we take 284 away from 290, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
If we divide 60 by 71, we get 0 and a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 10856.169014
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 14:
When dividing 600 by 71, we get 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 10856.16901408
The remainder is 32 after subtracting 568 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 10856.16901408 with a remainder of 3.2e-08.