642001 ÷ 9 
We want to divide 642001 by 9.

Step 1:
6 divided by 9 is 0 with 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

Advancing to step 2:
64 divided by 9 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 63 away from 64, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 9

Going ahead to step 3:
If we divide 12 by 9, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 71.0
If we take 9 away from 12, we end up with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 9

On to step 4:
30 divided by 9 is 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 713.0
If we take 27 away from 30, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 9

Advancing to step 5:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 7133.0
The remainder is 3 after subtracting 27 from 30.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 9

Step 6:
9 goes into 31 3 times with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 71333.0
Deduct 27 from 31 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
9 goes into 40 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 71333.4
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
If we divide 40 by 9, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 71333.44
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 71333.44 with a balance of 0.004.