587075 ÷ 45 
Our goal is to divide 587075 by 45.

Step 1:
5 divided by 45 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 45

Step 2:
When dividing 58 by 45, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 45 from 58 to get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 45

Going ahead to step 3:
When dividing 137 by 45, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtracting 135 from 137 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 45

Going ahead to step 4:
45 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 130.0
If we subtract 0 from 20, we get 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 45

Step 5:
207 divided by 45 is 4 with a remainder of 27.
Use 4 as the next digit of our solution. 
Result so far: 1304.0
If we take 180 away from 207, we end up with 27.
Include the next digit (5) from the dividend after 27, then repeat: 275 / 45

Let's proceed to step 6:
45 goes into 275 6 times with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 13046.0
If we subtract 270 from 275, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
When dividing 50 by 45, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 13046.1
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
45 goes into 50 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 13046.11
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 13046.11, with a leftover of 0.005.