We look at the division of 756709 by 71 
We want to figure out the number of times 756709 can be divided by 71.

Step 1:
The number 71 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 71

Moving on to step 2:
75 divided by 71 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 71 from 75 to get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 71

Going ahead to step 3:
46 divided by 71 is 0 with a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 46 to get 46.
Grab the next digit (7) from the dividend, add it to 46, then carry on: 467 / 71

Let's proceed to step 4:
When dividing 467 by 71, we get 6 with a remainder of 41.
Write down 6 as next digit of the result. 
Result so far: 106.0
Deduct 426 from 467 and we're left with 41.
Fetch the next digit (0) from the dividend, attach it to 41 and continue: 410 / 71

Advancing to step 5:
410 divided by 71 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 1065.0
Subtract 355 from 410 to get 55.
Fetch the next digit (9) from the dividend, attach it to 55 and continue: 559 / 71

Moving on to step 6:
559 divided by 71 is 7 with a remainder of 62.
The number 7 becomes the next digit in our result. 
Result so far: 10657.0
Subtracting 497 from 559 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 7:
71 can be fit into 620 8 times, resulting in a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 10657.8
Subtracting 568 from 620 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
520 divided by 71 is 7 with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 10657.87
Deduct 497 from 520 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
If we divide 230 by 71, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 10657.873
If we subtract 213 from 230, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
The number 71 fits into 170 2 times, leaving a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 10657.8732
The remainder is 28 after subtracting 142 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
When dividing 280 by 71, we get 3 with a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 10657.87323
The remainder is 67 after subtracting 213 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 12:
71 can be fit into 670 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 10657.873239
The remainder is 31 after subtracting 639 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 13:
When dividing 310 by 71, we get 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 10657.8732394
Deduct 284 from 310 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
If we divide 260 by 71, we get 3 and a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 10657.87323943
If we take 213 away from 260, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Our division results in 10657.87323943 with a remaining 4.7e-08.