We look at the division of 631129 by 71 
We want to divide 631129 by 71.

On to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 71

Let's proceed to step 2:
71 goes into 63 0 times with a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Grab the next digit (1) from the dividend, add it to 63, then carry on: 631 / 71

Moving on to step 3:
71 can be fit into 631 8 times, resulting in a remainder of 63.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 568 from 631 to get 63.
Grab the next digit (1) from the dividend, add it to 63, then carry on: 631 / 71

On to step 4:
71 goes into 631 8 times with a remainder of 63.
The next digit of our result is 8. 
Result so far: 88.0
If we subtract 568 from 631, we get 63.
Bring next digit (2) of the dividend behind the 63 and repeat the process: 632 / 71

Moving on to step 5:
The number 71 fits into 632 8 times, leaving a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 888.0
Subtracting 568 from 632 leaves us with 64.
Append the next digit (9) from the dividend to 64 and continue with: 649 / 71

Let's proceed to step 6:
The number 71 fits into 649 9 times, leaving a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 8889.0
Subtracting 639 from 649 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.

Let's proceed to step 7:
71 goes into 100 1 times with a remainder of 29.
The next digit of our result is 1. 
Result so far: 8889.1
If we subtract 71 from 100, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 8:
290 divided by 71 is 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 8889.14
If we subtract 284 from 290, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
71 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 8889.14
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 10:
71 can be fit into 600 8 times, resulting in a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 8889.1408
If we subtract 568 from 600, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
320 divided by 71 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 8889.14084
If we take 284 away from 320, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
71 goes into 360 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 8889.140845
Subtract 355 from 360 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
71 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 8889.140845
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 14:
71 can be fit into 500 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 8889.14084507
Deduct 497 from 500 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 8889.14084507 with a balance of 3e-09.