We divide 586088 by 45
Our goal is to divide 586088 by 45.

On to step 1:
45 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 45

Advancing to step 2:
The number 45 fits into 58 1 times, leaving a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 45 away from 58, we end up with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 45

On to step 3:
When dividing 136 by 45, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 135 from 136 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 45

Moving on to step 4:
When dividing 10 by 45, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 130.0
If we take 0 away from 10, we end up with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 45

Moving on to step 5:
45 goes into 108 2 times with a remainder of 18.
The next digit of our result is 2. 
Result so far: 1302.0
If we subtract 90 from 108, we get 18.
Grab the next digit (8) from the dividend, add it to 18, then carry on: 188 / 45

Advancing to step 6:
45 can be fit into 188 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 13024.0
If we take 180 away from 188, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
45 can be fit into 80 1 times, resulting in a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 13024.1
If we subtract 45 from 80, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
If we divide 350 by 45, we get 7 and a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 13024.17
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
The number 45 fits into 350 7 times, leaving a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 13024.177
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 13024.177, with a leftover of 0.0035.