641072 divided by 96 
We're looking to find how many times 96 goes into 641072.

Going ahead to step 1:
When dividing 6 by 96, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 96

On to step 2:
96 goes into 64 0 times with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Bring next digit (1) of the dividend behind the 64 and repeat the process: 641 / 96

Advancing to step 3:
When dividing 641 by 96, we get 6 with a remainder of 65.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 576 from 641, we get 65.
Include the next digit (0) from the dividend after 65, then repeat: 650 / 96

On to step 4:
When dividing 650 by 96, we get 6 with a remainder of 74.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we take 576 away from 650, we end up with 74.
Fetch the next digit (7) from the dividend, attach it to 74 and continue: 747 / 96

Moving on to step 5:
When dividing 747 by 96, we get 7 with a remainder of 75.
Record the quotient 7 as the next digit in the result. 
Result so far: 667.0
The remainder is 75 after subtracting 672 from 747.
Bring next digit (2) of the dividend behind the 75 and repeat the process: 752 / 96

Going ahead to step 6:
96 goes into 752 7 times with a remainder of 80.
Write down 7 as next digit of the result. 
Result so far: 6677.0
Subtracting 672 from 752 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 7:
800 divided by 96 is 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 6677.8
If we take 768 away from 800, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
320 divided by 96 is 3 with a remainder of 32.
The next digit of our result is 3. 
Result so far: 6677.83
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
If we divide 320 by 96, we get 3 and a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 6677.833
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 6677.833 with a balance of 0.0032.