We look at the division of 642574 by 71 
We want to figure out the number of times 642574 can be divided by 71.

Advancing to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 71

Let's proceed to step 2:
If we divide 64 by 71, we get 0 and a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Take the next digit (2) from the dividend and append it to 64, then repeat: 642 / 71

Step 3:
If we divide 642 by 71, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 9.0
If we take 639 away from 642, we end up with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 71

Step 4:
71 goes into 35 0 times with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 90.0
The remainder is 35 after subtracting 0 from 35.
Fetch the next digit (7) from the dividend, attach it to 35 and continue: 357 / 71

Advancing to step 5:
71 can be fit into 357 5 times, resulting in a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 905.0
Deduct 355 from 357 and we're left with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 71

Let's proceed to step 6:
71 can be fit into 24 0 times, resulting in a remainder of 24.
Use 0 as the next digit of our solution. 
Result so far: 9050.0
If we take 0 away from 24, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
If we divide 240 by 71, we get 3 and a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 9050.3
If we subtract 213 from 240, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 8:
270 divided by 71 is 3 with a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 9050.33
Subtract 213 from 270 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 9050.33 with a balance of 0.057.