We look at the division of 115397 by 45 
Our goal is to divide 115397 by 45.

Advancing to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 45

Going ahead to step 2:
When dividing 11 by 45, we get 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 45

Moving on to step 3:
The number 45 fits into 115 2 times, leaving 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.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 45

Let's proceed to step 4:
If we divide 253 by 45, we get 5 and a remainder of 28.
Use 5 as the next digit of our solution. 
Result so far: 25.0
If we subtract 225 from 253, we get 28.
Include the next digit (9) from the dividend after 28, then repeat: 289 / 45

Going ahead to step 5:
If we divide 289 by 45, we get 6 and a remainder of 19.
The next digit of our result is 6. 
Result so far: 256.0
Deduct 270 from 289 and we're left with 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 45

On to step 6:
If we divide 197 by 45, we get 4 and a remainder of 17.
Use 4 as the next digit of our solution. 
Result so far: 2564.0
Subtract 180 from 197 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
The number 45 fits into 170 3 times, leaving a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 2564.3
Subtract 135 from 170 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
45 goes into 350 7 times with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 2564.37
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
350 divided by 45 is 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 2564.377
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 2564.377, with a leftover of 0.0035.