We're dividing 74423231 by 553 
We want to figure out the number of times 74423231 can be divided by 553.

Going ahead to step 1:
553 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 553

Going ahead to step 2:
When dividing 74 by 553, we get 0 with a remainder of 74.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Include the next digit (4) from the dividend after 74, then repeat: 744 / 553

Let's proceed to step 3:
If we divide 744 by 553, we get 1 and a remainder of 191.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 191 after subtracting 553 from 744.
Fetch the next digit (2) from the dividend, attach it to 191 and continue: 1912 / 553

Moving on to step 4:
553 goes into 1912 3 times with a remainder of 253.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 1659 from 1912 to get 253.
Append the next digit (3) from the dividend to 253 and continue with: 2533 / 553

Advancing to step 5:
The number 553 fits into 2533 4 times, leaving a remainder of 321.
Record the quotient 4 as the next digit in the result. 
Result so far: 134.0
The remainder is 321 after subtracting 2212 from 2533.
Bring next digit (2) of the dividend behind the 321 and repeat the process: 3212 / 553

Advancing to step 6:
When dividing 3212 by 553, we get 5 with a remainder of 447.
The number 5 becomes the next digit in our result. 
Result so far: 1345.0
Subtract 2765 from 3212 to get 447.
Include the next digit (3) from the dividend after 447, then repeat: 4473 / 553

Moving on to step 7:
The number 553 fits into 4473 8 times, leaving a remainder of 49.
Write down 8 as next digit of the result. 
Result so far: 13458.0
If we subtract 4424 from 4473, we get 49.
Bring next digit (1) of the dividend behind the 49 and repeat the process: 491 / 553

On to step 8:
491 divided by 553 is 0 with a remainder of 491.
The next digit of our result is 0. 
Result so far: 134580.0
Subtracting 0 from 491 leaves us with 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4910, and continue the process.

Advancing to step 9:
4910 divided by 553 is 8 with a remainder of 486.
Put 8 as the next digit of the answer. 
Result so far: 134580.8
Deduct 4424 from 4910 and we're left with 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Step 10:
553 goes into 4860 8 times with a remainder of 436.
Record the quotient 8 as the next digit in the result. 
Result so far: 134580.88
Deduct 4424 from 4860 and we're left with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

After the division, we end up with 134580.88 and a remainder of 0.436.