Let's divide 123115 by 45
We want to figure out the number of times 123115 can be divided by 45.

Going ahead to step 1:
When dividing 1 by 45, we get 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.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 45

Let's proceed to step 2:
12 divided by 45 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 45

On to step 3:
45 can be fit into 123 2 times, resulting in a remainder of 33.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 90 from 123, we get 33.
Take the next digit (1) from the dividend and append it to 33, then repeat: 331 / 45

On to step 4:
331 divided by 45 is 7 with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Subtracting 315 from 331 leaves us with 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 45

Moving on to step 5:
If we divide 161 by 45, we get 3 and a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 273.0
Subtract 135 from 161 to get 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 45

Going ahead to step 6:
If we divide 265 by 45, we get 5 and a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 2735.0
Subtracting 225 from 265 leaves us 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.

On to step 7:
When dividing 400 by 45, we get 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 2735.8
Subtract 360 from 400 to 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.

Advancing to step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 2735.88
Subtract 360 from 400 to 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.

The quotient of the division is 2735.88, and the remainder is 0.04.