We look at the division of 95596 by 45 
We want to figure out the number of times 95596 can be divided by 45.

Step 1:
When dividing 9 by 45, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 45

Advancing to step 2:
95 divided by 45 is 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 90 from 95 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 45

Moving on to step 3:
45 can be fit into 55 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 21.0
The remainder is 10 after subtracting 45 from 55.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 45

Step 4:
The number 45 fits into 109 2 times, leaving a remainder of 19.
The next digit of our result is 2. 
Result so far: 212.0
If we subtract 90 from 109, we get 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 45

Let's proceed to step 5:
If we divide 196 by 45, we get 4 and a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 2124.0
The remainder is 16 after subtracting 180 from 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 6:
The number 45 fits into 160 3 times, leaving a remainder of 25.
The next digit of our result is 3. 
Result so far: 2124.3
Deduct 135 from 160 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 2124.35
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
45 can be fit into 250 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 2124.355
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 2124.355 and a remainder of 0.0025.