390108 ÷ 45 
Let's see how many times 45 fits into 390108.

Advancing to step 1:
The number 45 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 45

Moving on to step 2:
45 goes into 39 0 times with a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 39 leaves us with 39.
Take the next digit (0) from the dividend and append it to 39, then repeat: 390 / 45

On to step 3:
45 goes into 390 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 30 after subtracting 360 from 390.
Include the next digit (1) from the dividend after 30, then repeat: 301 / 45

Step 4:
The number 45 fits into 301 6 times, leaving a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 86.0
If we take 270 away from 301, we end up with 31.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 45

On to step 5:
45 can be fit into 310 6 times, resulting in a remainder of 40.
The next digit of our result is 6. 
Result so far: 866.0
Subtract 270 from 310 to get 40.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 45

Going ahead to step 6:
45 goes into 408 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 8669.0
If we subtract 405 from 408, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
45 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 8669.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
When dividing 300 by 45, we get 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 8669.06
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.

Let's proceed to step 9:
300 divided by 45 is 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 8669.066
Subtracting 270 from 300 leaves us 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 8669.066 with a remaining 0.003.