Let's divide 19624 by 45
We want to figure out the number of times 19624 can be divided by 45.

Let's proceed to step 1:
45 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 45

Step 2:
The number 45 fits into 19 0 times, leaving a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 19, we end up with 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 45

Moving on to step 3:
When dividing 196 by 45, we get 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 180 from 196 to get 16.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 45

Let's proceed to step 4:
162 divided by 45 is 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 43.0
Subtract 135 from 162 to get 27.
Fetch the next digit (4) from the dividend, attach it to 27 and continue: 274 / 45

Step 5:
45 can be fit into 274 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 436.0
Deduct 270 from 274 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 6:
45 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 436.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
400 divided by 45 is 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 436.08
If we take 360 away from 400, we end up 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.

Let's proceed to step 8:
If we divide 400 by 45, we get 8 and a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 436.088
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 436.088 with a remaining 0.004.