We look at the division of 640142 by 71 
Our goal is to divide 640142 by 71.

Step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 71

Step 2:
When dividing 64 by 71, we get 0 with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Fetch the next digit (0) from the dividend, attach it to 64 and continue: 640 / 71

Step 3:
640 divided by 71 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 639 away from 640, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 71

Moving on to step 4:
If we divide 11 by 71, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 90.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 71

On to step 5:
If we divide 114 by 71, we get 1 and a remainder of 43.
The next digit of our result is 1. 
Result so far: 901.0
Subtracting 71 from 114 leaves us with 43.
Include the next digit (2) from the dividend after 43, then repeat: 432 / 71

On to step 6:
If we divide 432 by 71, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 9016.0
The remainder is 6 after subtracting 426 from 432.
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 7:
71 goes into 60 0 times with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 9016.0
Subtracting 0 from 60 leaves us 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 8:
600 divided by 71 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 9016.08
The remainder is 32 after subtracting 568 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
320 divided by 71 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 9016.084
Deduct 284 from 320 and we're left 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.

Let's proceed to step 10:
If we divide 360 by 71, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 9016.0845
Deduct 355 from 360 and we're left 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 11:
71 can be fit into 50 0 times, resulting in a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 9016.0845
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 12:
500 divided by 71 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 9016.084507
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.

Advancing to step 13:
When dividing 30 by 71, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 9016.084507
Subtracting 0 from 30 leaves us with 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 14:
The number 71 fits into 300 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 9016.08450704
Subtract 284 from 300 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 9016.08450704 with a balance of 1.6e-08.