155180 ÷ 45 
Our goal is to divide 155180 by 45.

On to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 45

Let's proceed to step 2:
When dividing 15 by 45, we get 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 45

Let's proceed to step 3:
When dividing 155 by 45, we get 3 with a remainder of 20.
The next digit of our result is 3. 
Result so far: 3.0
If we take 135 away from 155, we end up with 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 45

Going ahead to step 4:
45 can be fit into 201 4 times, resulting in a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 34.0
If we take 180 away from 201, we end up with 21.
Take the next digit (8) from the dividend and append it to 21, then repeat: 218 / 45

On to step 5:
The number 45 fits into 218 4 times, leaving a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 344.0
The remainder is 38 after subtracting 180 from 218.
Fetch the next digit (0) from the dividend, attach it to 38 and continue: 380 / 45

On to step 6:
The number 45 fits into 380 8 times, leaving a remainder of 20.
The next digit of our result is 8. 
Result so far: 3448.0
Subtracting 360 from 380 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 3448.4
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
200 divided by 45 is 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 3448.44
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 3448.44, with a leftover of 0.02.