45090 ÷ 45 
Our goal is to divide 45090 by 45.

Advancing to step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 45

Advancing to step 2:
45 can be fit into 45 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 45 from 45 to get 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 45

On to step 3:
0 divided by 45 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 0 and we're left with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 45

Moving on to step 4:
When dividing 9 by 45, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 100.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 45

Let's proceed to step 5:
45 goes into 90 2 times with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 1002.0
Subtracting 90 from 90 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 6:
45 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1002.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
0 divided by 45 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1002.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 1002.0, and the remainder is 0.0.