We're dividing 155575 by 45 
We're looking to find how many times 45 goes into 155575.

On to step 1:
The number 45 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 45

Let's proceed to step 2:
If we divide 15 by 45, we get 0 and a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 45

Step 3:
When dividing 155 by 45, we get 3 with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 135 from 155 and we're left with 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 45

Moving on to step 4:
When dividing 205 by 45, we get 4 with a remainder of 25.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Deduct 180 from 205 and we're left with 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 45

Advancing to step 5:
If we divide 257 by 45, we get 5 and a remainder of 32.
Record the quotient 5 as the next digit in the result. 
Result so far: 345.0
The remainder is 32 after subtracting 225 from 257.
Take the next digit (5) from the dividend and append it to 32, then repeat: 325 / 45

Advancing to step 6:
45 can be fit into 325 7 times, resulting in a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 3457.0
If we take 315 away from 325, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
If we divide 100 by 45, we get 2 and a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 3457.2
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
45 goes into 100 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 3457.22
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 3457.22 with a remainder of 0.01.