415501 ÷ 45 
Let's see how many times 45 fits into 415501.

Going ahead to step 1:
45 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 45

Step 2:
When dividing 41 by 45, we get 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 45

On to step 3:
415 divided by 45 is 9 with a remainder of 10.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 405 from 415 to get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 45

Moving on to step 4:
45 can be fit into 105 2 times, resulting in a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 92.0
Subtract 90 from 105 to get 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 45

Advancing to step 5:
45 goes into 150 3 times with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 923.0
Deduct 135 from 150 and we're left with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 45

Step 6:
45 can be fit into 151 3 times, resulting in a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 9233.0
Subtract 135 from 151 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
160 divided by 45 is 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 9233.3
The remainder is 25 after subtracting 135 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 8:
45 goes into 250 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 9233.35
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 9233.355
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 9233.355, and the remainder is 0.0025.