We look at the division of 130876 by 45 
Our goal is to divide 130876 by 45.

On to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our 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

Step 2:
45 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 45

Step 3:
The number 45 fits into 130 2 times, leaving a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 90 from 130 leaves us with 40.
Grab the next digit (8) from the dividend, add it to 40, then carry on: 408 / 45

Advancing to step 4:
When dividing 408 by 45, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 29.0
If we subtract 405 from 408, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 45

Moving on to step 5:
When dividing 37 by 45, we get 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 290.0
If we subtract 0 from 37, we get 37.
Take the next digit (6) from the dividend and append it to 37, then repeat: 376 / 45

Going ahead to step 6:
If we divide 376 by 45, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 2908.0
If we subtract 360 from 376, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
160 divided by 45 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 2908.3
Subtract 135 from 160 to 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.

Moving on to step 8:
45 goes into 250 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2908.35
Deduct 225 from 250 and we're left 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.

Step 9:
45 goes into 250 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2908.355
Subtract 225 from 250 to 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.

The final result is 2908.355 with a remainder of 0.0025.