Let's divide 10201 by 45
We want to divide 10201 by 45.

Step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 45

Advancing to step 2:
45 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 45

Let's proceed to step 3:
If we divide 102 by 45, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 12 after subtracting 90 from 102.
Include the next digit (0) from the dividend after 12, then repeat: 120 / 45

Step 4:
45 goes into 120 2 times with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 22.0
If we take 90 away from 120, we end up with 30.
Include the next digit (1) from the dividend after 30, then repeat: 301 / 45

Moving on to step 5:
301 divided by 45 is 6 with a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 226.0
If we subtract 270 from 301, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 6:
45 can be fit into 310 6 times, resulting in a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 226.6
Deduct 270 from 310 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.

Moving on to step 7:
400 divided by 45 is 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 226.68
Subtracting 360 from 400 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.

Step 8:
45 goes into 400 8 times with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 226.688
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.

In conclusion, the division gives 226.688 with a balance of 0.004.