We divide 130584 by 45
Our goal is to divide 130584 by 45.

Step 1:
1 divided by 45 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 45

Let's proceed to step 2:
The number 45 fits into 13 0 times, leaving a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 45

Step 3:
45 can be fit into 130 2 times, resulting in a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 90 away from 130, we end up with 40.
Bring next digit (5) of the dividend behind the 40 and repeat the process: 405 / 45

Let's proceed to step 4:
The number 45 fits into 405 9 times, leaving a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
If we take 405 away from 405, we end up with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 45

Let's proceed to step 5:
The number 45 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 290.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 45

Advancing to step 6:
45 can be fit into 84 1 times, resulting in a remainder of 39.
The next digit of our result is 1. 
Result so far: 2901.0
The remainder is 39 after subtracting 45 from 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
The number 45 fits into 390 8 times, leaving a remainder of 30.
The next digit of our result is 8. 
Result so far: 2901.8
Deduct 360 from 390 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
45 can be fit into 300 6 times, resulting in a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 2901.86
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
45 can be fit into 300 6 times, resulting in a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 2901.866
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 2901.866 with a remaining 0.003.