We look at the division of 100153 by 45 
Let's see how many times 45 fits into 100153.

Moving on to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 45

Advancing to step 2:
45 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 45

Advancing to step 3:
The number 45 fits into 100 2 times, leaving a remainder of 10.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 90 from 100, we get 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 45

On to step 4:
When dividing 101 by 45, we get 2 with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtracting 90 from 101 leaves us with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 45

Going ahead to step 5:
If we divide 115 by 45, we get 2 and a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 222.0
If we take 90 away from 115, we end up with 25.
Bring next digit (3) of the dividend behind the 25 and repeat the process: 253 / 45

Advancing to step 6:
When dividing 253 by 45, we get 5 with a remainder of 28.
Use 5 as the next digit of our solution. 
Result so far: 2225.0
If we take 225 away from 253, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 7:
If we divide 280 by 45, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 2225.6
Subtract 270 from 280 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 2225.62
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
100 divided by 45 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 2225.622
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 2225.622 with a remainder of 0.001.