We look at the division of 709825 by 71 
We're looking to find how many times 71 goes into 709825.

Let's proceed 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
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 71

Going ahead to step 2:
If we divide 70 by 71, we get 0 and a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 70 to get 70.
Take the next digit (9) from the dividend and append it to 70, then repeat: 709 / 71

Advancing to step 3:
If we divide 709 by 71, we get 9 and a remainder of 70.
The next digit of our result is 9. 
Result so far: 9.0
Subtracting 639 from 709 leaves us with 70.
Fetch the next digit (8) from the dividend, attach it to 70 and continue: 708 / 71

Step 4:
71 can be fit into 708 9 times, resulting in a remainder of 69.
The next digit of our result is 9. 
Result so far: 99.0
Deduct 639 from 708 and we're left with 69.
Take the next digit (2) from the dividend and append it to 69, then repeat: 692 / 71

On to step 5:
The number 71 fits into 692 9 times, leaving a remainder of 53.
The number 9 becomes the next digit in our result. 
Result so far: 999.0
The remainder is 53 after subtracting 639 from 692.
Bring next digit (5) of the dividend behind the 53 and repeat the process: 535 / 71

On to step 6:
The number 71 fits into 535 7 times, leaving a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 9997.0
If we subtract 497 from 535, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
71 can be fit into 380 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 9997.5
The remainder is 25 after subtracting 355 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
If we divide 250 by 71, we get 3 and a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 9997.53
Subtract 213 from 250 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 9:
If we divide 370 by 71, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 9997.535
Subtract 355 from 370 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
If we divide 150 by 71, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 9997.5352
If we subtract 142 from 150, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
If we divide 80 by 71, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 9997.53521
Subtract 71 from 80 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
The number 71 fits into 90 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 9997.535211
If we subtract 71 from 90, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The quotient of the division is 9997.535211, and the remainder is 1.9e-06.