We're dividing 645569 by 96 
We want to figure out the number of times 645569 can be divided by 96.

On to step 1:
96 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 96

Moving on to step 2:
When dividing 64 by 96, we get 0 with a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Append the next digit (5) from the dividend to 64 and continue with: 645 / 96

On to step 3:
96 can be fit into 645 6 times, resulting in a remainder of 69.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 576 from 645 to get 69.
Take the next digit (5) from the dividend and append it to 69, then repeat: 695 / 96

Going ahead to step 4:
695 divided by 96 is 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Subtracting 672 from 695 leaves us with 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 96

Let's proceed to step 5:
If we divide 236 by 96, we get 2 and a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 672.0
If we subtract 192 from 236, we get 44.
Grab the next digit (9) from the dividend, add it to 44, then carry on: 449 / 96

Going ahead to step 6:
When dividing 449 by 96, we get 4 with a remainder of 65.
Put 4 as the next digit of the answer. 
Result so far: 6724.0
If we subtract 384 from 449, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 7:
96 can be fit into 650 6 times, resulting in a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 6724.6
Deduct 576 from 650 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 8:
740 divided by 96 is 7 with a remainder of 68.
Write down 7 as next digit of the result. 
Result so far: 6724.67
The remainder is 68 after subtracting 672 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 9:
When dividing 680 by 96, we get 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 6724.677
The remainder is 8 after subtracting 672 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 6724.677 with a remainder of 0.0008.