We look at the division of 631861 by 71 
Our goal is to divide 631861 by 71.

Step 1:
The number 71 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 71

Step 2:
71 can be fit into 63 0 times, resulting in a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Include the next digit (1) from the dividend after 63, then repeat: 631 / 71

Going ahead to step 3:
71 can be fit into 631 8 times, resulting in a remainder of 63.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 568 from 631 and we're left with 63.
Take the next digit (8) from the dividend and append it to 63, then repeat: 638 / 71

Step 4:
When dividing 638 by 71, we get 8 with a remainder of 70.
Write down 8 as next digit of the result. 
Result so far: 88.0
The remainder is 70 after subtracting 568 from 638.
Include the next digit (6) from the dividend after 70, then repeat: 706 / 71

Step 5:
706 divided by 71 is 9 with a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 889.0
Subtract 639 from 706 to get 67.
Bring next digit (1) of the dividend behind the 67 and repeat the process: 671 / 71

Advancing to step 6:
The number 71 fits into 671 9 times, leaving a remainder of 32.
The number 9 becomes the next digit in our result. 
Result so far: 8899.0
If we take 639 away from 671, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
The number 71 fits into 320 4 times, leaving a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 8899.4
Subtracting 284 from 320 leaves us 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.

Going ahead to step 8:
71 goes into 360 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 8899.45
The remainder is 5 after subtracting 355 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
50 divided by 71 is 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 8899.45
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
If we divide 500 by 71, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 8899.4507
If we subtract 497 from 500, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
71 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 8899.4507
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
300 divided by 71 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 8899.450704
The remainder is 16 after subtracting 284 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
When dividing 160 by 71, we get 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 8899.4507042
The remainder is 18 after subtracting 142 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 14:
71 can be fit into 180 2 times, resulting in a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 8899.45070422
Deduct 142 from 180 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 8899.45070422 and a remainder of 3.8e-08.