We look at the division of 640941 by 9 
We want to divide 640941 by 9.

Advancing to step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 9

Let's proceed to step 2:
The number 9 fits into 64 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 63 from 64, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 9

Going ahead to step 3:
10 divided by 9 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 71.0
The remainder is 1 after subtracting 9 from 10.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 9

Going ahead to step 4:
9 goes into 19 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 712.0
Deduct 18 from 19 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 9

Moving on to step 5:
The number 9 fits into 14 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 7121.0
The remainder is 5 after subtracting 9 from 14.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 9

Let's proceed to step 6:
If we divide 51 by 9, we get 5 and a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 71215.0
If we subtract 45 from 51, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
When dividing 60 by 9, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 71215.6
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
The number 9 fits into 60 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 71215.66
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 71215.66 and a remainder of 0.006.