We look at the division of 115519 by 45 
Let's see how many times 45 fits into 115519.

Moving on to step 1:
The number 45 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 45

Moving on to step 2:
11 divided by 45 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 45

Moving on to step 3:
45 goes into 115 2 times with a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 25 after subtracting 90 from 115.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 45

On to step 4:
When dividing 255 by 45, we get 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtracting 225 from 255 leaves us with 30.
Include the next digit (1) from the dividend after 30, then repeat: 301 / 45

Advancing to step 5:
If we divide 301 by 45, we get 6 and a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 256.0
If we subtract 270 from 301, we get 31.
Take the next digit (9) from the dividend and append it to 31, then repeat: 319 / 45

Moving on to step 6:
45 goes into 319 7 times with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 2567.0
Subtracting 315 from 319 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 45 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2567.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 2567.08
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
When dividing 400 by 45, we get 8 with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 2567.088
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 2567.088 with a remaining 0.004.