Let's divide 586753 by 45
We're looking to find how many times 45 goes into 586753.

Step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 45

Moving on to step 2:
45 can be fit into 58 1 times, resulting in a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 45 from 58 leaves us with 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 45

On to step 3:
When dividing 136 by 45, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 135 away from 136, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 45

Let's proceed to step 4:
The number 45 fits into 17 0 times, leaving a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 130.0
If we take 0 away from 17, we end up with 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 45

Advancing to step 5:
45 can be fit into 175 3 times, resulting in a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 1303.0
If we subtract 135 from 175, we get 40.
Bring next digit (3) of the dividend behind the 40 and repeat the process: 403 / 45

Let's proceed to step 6:
403 divided by 45 is 8 with a remainder of 43.
Use 8 as the next digit of our solution. 
Result so far: 13038.0
If we subtract 360 from 403, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
430 divided by 45 is 9 with a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 13038.9
The remainder is 25 after subtracting 405 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
When dividing 250 by 45, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 13038.95
If we subtract 225 from 250, we 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.

Step 9:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 13038.955
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 13038.955 with a remaining 0.0025.