We look at the division of 173235 by 45 
Our goal is to divide 173235 by 45.

Advancing to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 45

Let's proceed to step 2:
45 can be fit into 17 0 times, resulting in a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 45

Let's proceed to step 3:
173 divided by 45 is 3 with a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 135 away from 173, we end up with 38.
Include the next digit (2) from the dividend after 38, then repeat: 382 / 45

Let's proceed to step 4:
When dividing 382 by 45, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Subtract 360 from 382 to get 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 45

Step 5:
223 divided by 45 is 4 with a remainder of 43.
Put 4 as the next digit of the answer. 
Result so far: 384.0
If we take 180 away from 223, we end up with 43.
Append the next digit (5) from the dividend to 43 and continue with: 435 / 45

Step 6:
The number 45 fits into 435 9 times, leaving a remainder of 30.
The next digit of our result is 9. 
Result so far: 3849.0
If we take 405 away from 435, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
45 goes into 300 6 times with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 3849.6
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
When dividing 300 by 45, we get 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 3849.66
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 3849.66 with a remaining 0.03.