Let's divide 101423 by 45
Let's see how many times 45 fits into 101423.

Going ahead to step 1:
45 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 45

On to step 2:
If we divide 10 by 45, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 45

Let's proceed to step 3:
The number 45 fits into 101 2 times, leaving a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 90 away from 101, we end up with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 45

Advancing to step 4:
When dividing 114 by 45, we get 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
Subtract 90 from 114 to get 24.
Take the next digit (2) from the dividend and append it to 24, then repeat: 242 / 45

Moving on to step 5:
The number 45 fits into 242 5 times, leaving a remainder of 17.
The next digit of our result is 5. 
Result so far: 225.0
If we take 225 away from 242, we end up with 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 45

On to step 6:
The number 45 fits into 173 3 times, leaving a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 2253.0
Deduct 135 from 173 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
When dividing 380 by 45, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 2253.8
Subtracting 360 from 380 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 2253.84
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
If we divide 200 by 45, we get 4 and a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 2253.844
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 2253.844 with a balance of 0.002.