We look at the division of 641093 by 71 
We want to divide 641093 by 71.

Let's proceed to step 1:
If we divide 6 by 71, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 71

Advancing to step 2:
If we divide 64 by 71, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Fetch the next digit (1) from the dividend, attach it to 64 and continue: 641 / 71

Going ahead to step 3:
If we divide 641 by 71, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 639 away from 641, we end up with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 71

Moving on to step 4:
71 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Subtract 0 from 20 to get 20.
Bring next digit (9) of the dividend behind the 20 and repeat the process: 209 / 71

Let's proceed to step 5:
When dividing 209 by 71, we get 2 with a remainder of 67.
Write down 2 as next digit of the result. 
Result so far: 902.0
Subtract 142 from 209 to get 67.
Include the next digit (3) from the dividend after 67, then repeat: 673 / 71

Let's proceed to step 6:
71 can be fit into 673 9 times, resulting in a remainder of 34.
The number 9 becomes the next digit in our result. 
Result so far: 9029.0
Subtracting 639 from 673 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
When dividing 340 by 71, we get 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 9029.4
Subtract 284 from 340 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
71 can be fit into 560 7 times, resulting in a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 9029.47
If we subtract 497 from 560, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 9:
When dividing 630 by 71, we get 8 with a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 9029.478
The remainder is 62 after subtracting 568 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 10:
If we divide 620 by 71, we get 8 and a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 9029.4788
Subtracting 568 from 620 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.

The quotient of the division is 9029.4788, and the remainder is 0.00052.