We look at the division of 644661 by 71 
Our goal is to divide 644661 by 71.

Going ahead to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 71

Moving on to step 2:
71 goes into 64 0 times with a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Fetch the next digit (4) from the dividend, attach it to 64 and continue: 644 / 71

Step 3:
If we divide 644 by 71, we get 9 and a remainder of 5.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 639 from 644 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 71

Let's proceed to step 4:
If we divide 56 by 71, we get 0 and a remainder of 56.
The next digit of our result is 0. 
Result so far: 90.0
If we take 0 away from 56, we end up with 56.
Take the next digit (6) from the dividend and append it to 56, then repeat: 566 / 71

On to step 5:
When dividing 566 by 71, we get 7 with a remainder of 69.
Write down 7 as next digit of the result. 
Result so far: 907.0
Subtract 497 from 566 to get 69.
Grab the next digit (1) from the dividend, add it to 69, then carry on: 691 / 71

Let's proceed to step 6:
71 goes into 691 9 times with a remainder of 52.
Use 9 as the next digit of our solution. 
Result so far: 9079.0
Subtracting 639 from 691 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
71 goes into 520 7 times with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 9079.7
Subtracting 497 from 520 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
71 goes into 230 3 times with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 9079.73
Deduct 213 from 230 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 9:
170 divided by 71 is 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 9079.732
The remainder is 28 after subtracting 142 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
280 divided by 71 is 3 with a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 9079.7323
Subtracting 213 from 280 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 11:
The number 71 fits into 670 9 times, leaving a remainder of 31.
The next digit of our result is 9. 
Result so far: 9079.73239
If we take 639 away from 670, we end up 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.

Let's proceed to step 12:
The number 71 fits into 310 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 9079.732394
Deduct 284 from 310 and we're left 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.

Step 13:
The number 71 fits into 260 3 times, leaving a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 9079.7323943
Subtracting 213 from 260 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 14:
71 can be fit into 470 6 times, resulting in a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 9079.73239436
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.

The final result is 9079.73239436 with a remainder of 4.4e-08.