We're dividing 105243 by 45 
Let's see how many times 45 fits into 105243.

Going ahead to step 1:
The number 45 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 45

On to step 2:
45 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 45

Let's proceed to step 3:
The number 45 fits into 105 2 times, leaving a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 90 away from 105, we end up with 15.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 45

Advancing to step 4:
45 goes into 152 3 times with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
The remainder is 17 after subtracting 135 from 152.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 45

Step 5:
174 divided by 45 is 3 with a remainder of 39.
Write down 3 as next digit of the result. 
Result so far: 233.0
Deduct 135 from 174 and we're left with 39.
Fetch the next digit (3) from the dividend, attach it to 39 and continue: 393 / 45

Let's proceed to step 6:
If we divide 393 by 45, we get 8 and a remainder of 33.
Put 8 as the next digit of the answer. 
Result so far: 2338.0
Subtract 360 from 393 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
If we divide 330 by 45, we get 7 and a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 2338.7
If we subtract 315 from 330, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
45 goes into 150 3 times with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 2338.73
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
45 goes into 150 3 times with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 2338.733
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 2338.733 with a remaining 0.0015.