Let's divide 421574 by 44
We want to divide 421574 by 44.

Step 1:
When dividing 4 by 44, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 44

Step 2:
The number 44 fits into 42 0 times, leaving a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 44

On to step 3:
44 can be fit into 421 9 times, resulting in a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 396 from 421 to get 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 44

Moving on to step 4:
255 divided by 44 is 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 95.0
The remainder is 35 after subtracting 220 from 255.
Take the next digit (7) from the dividend and append it to 35, then repeat: 357 / 44

Moving on to step 5:
44 goes into 357 8 times with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 958.0
If we subtract 352 from 357, we get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 44

Step 6:
54 divided by 44 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 9581.0
If we take 44 away from 54, we end up 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.

Let's proceed to step 7:
100 divided by 44 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 9581.2
Subtracting 88 from 100 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
120 divided by 44 is 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 9581.22
If we take 88 away from 120, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 9581.22, and the remainder is 0.032.