Let's divide 581163 by 45
We're looking to find how many times 45 goes into 581163.

Moving on to step 1:
45 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 45

On to step 2:
The number 45 fits into 58 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 45 from 58, we get 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 45

Moving on to step 3:
45 goes into 131 2 times with a remainder of 41.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 90 away from 131, we end up with 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 45

Let's proceed to step 4:
If we divide 411 by 45, we get 9 and a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
Subtract 405 from 411 to get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 45

Advancing to step 5:
When dividing 66 by 45, we get 1 with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1291.0
If we subtract 45 from 66, we get 21.
Grab the next digit (3) from the dividend, add it to 21, then carry on: 213 / 45

Going ahead to step 6:
If we divide 213 by 45, we get 4 and a remainder of 33.
The next digit of our result is 4. 
Result so far: 12914.0
Subtract 180 from 213 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
The number 45 fits into 330 7 times, leaving a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 12914.7
The remainder is 15 after subtracting 315 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
When dividing 150 by 45, we get 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 12914.73
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
The next digit of our result is 3. 
Result so far: 12914.733
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 12914.733 with a remaining 0.0015.