403665 divided by 45 
We want to figure out the number of times 403665 can be divided by 45.

Going ahead to step 1:
If we divide 4 by 45, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 45

Moving on to step 2:
When dividing 40 by 45, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Fetch the next digit (3) from the dividend, attach it to 40 and continue: 403 / 45

Advancing to step 3:
If we divide 403 by 45, we get 8 and a remainder of 43.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 360 from 403 and we're left with 43.
Bring next digit (6) of the dividend behind the 43 and repeat the process: 436 / 45

Going ahead to step 4:
When dividing 436 by 45, we get 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
Subtract 405 from 436 to get 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 45

Step 5:
When dividing 316 by 45, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 897.0
If we subtract 315 from 316, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 45

Let's proceed to step 6:
45 goes into 15 0 times with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 8970.0
If we subtract 0 from 15, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
If we divide 150 by 45, we get 3 and a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 8970.3
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
45 goes into 150 3 times with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 8970.33
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 8970.33 with a remainder of 0.015.