We're dividing 764374 by 71 
Our goal is to divide 764374 by 71.

Advancing to step 1:
When dividing 7 by 71, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 71

Let's proceed to step 2:
The number 71 fits into 76 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 71 from 76, we get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 71

Going ahead to step 3:
71 can be fit into 54 0 times, resulting in a remainder of 54.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 54 leaves us with 54.
Append the next digit (3) from the dividend to 54 and continue with: 543 / 71

On to step 4:
If we divide 543 by 71, we get 7 and a remainder of 46.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
Deduct 497 from 543 and we're left with 46.
Fetch the next digit (7) from the dividend, attach it to 46 and continue: 467 / 71

Step 5:
71 can be fit into 467 6 times, resulting in a remainder of 41.
Use 6 as the next digit of our solution. 
Result so far: 1076.0
Subtract 426 from 467 to get 41.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 71

Let's proceed to step 6:
71 goes into 414 5 times with a remainder of 59.
The next digit of our result is 5. 
Result so far: 10765.0
Subtract 355 from 414 to 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.

Let's proceed to step 7:
When dividing 590 by 71, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 10765.8
Subtract 568 from 590 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
If we divide 220 by 71, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 10765.83
Subtract 213 from 220 to 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.

Going ahead to step 9:
71 can be fit into 70 0 times, resulting in a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 10765.83
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 10:
71 goes into 700 9 times with a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 10765.8309
Deduct 639 from 700 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 11:
If we divide 610 by 71, we get 8 and a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 10765.83098
Deduct 568 from 610 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 12:
71 goes into 420 5 times with a remainder of 65.
The next digit of our result is 5. 
Result so far: 10765.830985
If we subtract 355 from 420, we 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:
650 divided by 71 is 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 10765.8309859
If we subtract 639 from 650, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 14:
When dividing 110 by 71, we get 1 with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 10765.83098591
If we take 71 away from 110, we end up 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.

In conclusion, the division gives 10765.83098591 with a balance of 3.9e-08.