43221 ÷ 74 
Let's see how many times 74 fits into 43221.

Advancing to step 1:
4 divided by 74 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 74

Let's proceed to step 2:
When dividing 43 by 74, we get 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Fetch the next digit (2) from the dividend, attach it to 43 and continue: 432 / 74

Step 3:
74 can be fit into 432 5 times, resulting in a remainder of 62.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 370 from 432 leaves us with 62.
Append the next digit (2) from the dividend to 62 and continue with: 622 / 74

Moving on to step 4:
If we divide 622 by 74, we get 8 and a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
If we subtract 592 from 622, we get 30.
Append the next digit (1) from the dividend to 30 and continue with: 301 / 74

Advancing to step 5:
74 goes into 301 4 times with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 584.0
If we subtract 296 from 301, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
74 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 584.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 7:
74 goes into 500 6 times with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 584.06
Subtract 444 from 500 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 8:
74 can be fit into 560 7 times, resulting in a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 584.067
Deduct 518 from 560 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 9:
The number 74 fits into 420 5 times, leaving a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 584.0675
The remainder is 50 after subtracting 370 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
74 goes into 500 6 times with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 584.06756
If we subtract 444 from 500, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 11:
When dividing 560 by 74, we get 7 with a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 584.067567
Subtract 518 from 560 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 12:
74 can be fit into 420 5 times, resulting in a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 584.0675675
Deduct 370 from 420 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
74 can be fit into 500 6 times, resulting in a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 584.06756756
Subtract 444 from 500 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Our division results in 584.06756756 with a remaining 5.6e-08.