640735 ÷ 71 
We're looking to find how many times 71 goes into 640735.

Advancing to step 1:
71 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 71

On to step 2:
71 can be fit into 64 0 times, resulting in a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Grab the next digit (0) from the dividend, add it to 64, then carry on: 640 / 71

Moving on to step 3:
If we divide 640 by 71, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 639 from 640 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 71

Moving on to step 4:
The number 71 fits into 17 0 times, leaving a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
The remainder is 17 after subtracting 0 from 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 71

Let's proceed to step 5:
When dividing 173 by 71, we get 2 with a remainder of 31.
The number 2 becomes the next digit in our result. 
Result so far: 902.0
If we take 142 away from 173, we end up with 31.
Take the next digit (5) from the dividend and append it to 31, then repeat: 315 / 71

On to step 6:
315 divided by 71 is 4 with a remainder of 31.
The number 4 becomes the next digit in our result. 
Result so far: 9024.0
Subtracting 284 from 315 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
The number 71 fits into 310 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 9024.4
Subtracting 284 from 310 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
260 divided by 71 is 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 9024.43
The remainder is 47 after subtracting 213 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 9:
When dividing 470 by 71, we get 6 with a remainder of 44.
The next digit of our result is 6. 
Result so far: 9024.436
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 10:
The number 71 fits into 440 6 times, leaving a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 9024.4366
Subtract 426 from 440 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 9024.4366 with a remaining 0.00014.