We look at the division of 628166 by 71 
We want to divide 628166 by 71.

Going ahead to step 1:
If we divide 6 by 71, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 71

Advancing to step 2:
When dividing 62 by 71, we get 0 with a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Fetch the next digit (8) from the dividend, attach it to 62 and continue: 628 / 71

Moving on to step 3:
If we divide 628 by 71, we get 8 and a remainder of 60.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 60 after subtracting 568 from 628.
Bring next digit (1) of the dividend behind the 60 and repeat the process: 601 / 71

Let's proceed to step 4:
The number 71 fits into 601 8 times, leaving a remainder of 33.
Put 8 as the next digit of the answer. 
Result so far: 88.0
Subtract 568 from 601 to get 33.
Bring next digit (6) of the dividend behind the 33 and repeat the process: 336 / 71

Step 5:
If we divide 336 by 71, we get 4 and a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 884.0
Subtracting 284 from 336 leaves us with 52.
Append the next digit (6) from the dividend to 52 and continue with: 526 / 71

Let's proceed to step 6:
71 can be fit into 526 7 times, resulting in a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 8847.0
Subtracting 497 from 526 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
71 can be fit into 290 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 8847.4
If we take 284 away from 290, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
60 divided by 71 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 8847.4
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
The number 71 fits into 600 8 times, leaving a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 8847.408
Subtract 568 from 600 to 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 10:
If we divide 320 by 71, we get 4 and a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 8847.4084
The remainder is 36 after subtracting 284 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
The number 71 fits into 360 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 8847.40845
If we take 355 away from 360, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
71 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 8847.40845
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 13:
If we divide 500 by 71, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 8847.4084507
If we take 497 away from 500, we end up 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.

Moving on to step 14:
71 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 8847.4084507
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 8847.4084507 with a remaining 3e-08.