16221 ÷ 34 
We're looking to find how many times 34 goes into 16221.

Let's proceed to step 1:
When dividing 1 by 34, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 34

Advancing to step 2:
If we divide 16 by 34, we get 0 and a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 16 after subtracting 0 from 16.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 34

Moving on to step 3:
The number 34 fits into 162 4 times, leaving a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 26 after subtracting 136 from 162.
Take the next digit (2) from the dividend and append it to 26, then repeat: 262 / 34

Let's proceed to step 4:
If we divide 262 by 34, we get 7 and a remainder of 24.
The next digit of our result is 7. 
Result so far: 47.0
Subtracting 238 from 262 leaves us with 24.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 34

On to step 5:
241 divided by 34 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 477.0
The remainder is 3 after subtracting 238 from 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 6:
When dividing 30 by 34, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 477.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 477.08
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
34 goes into 280 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 477.088
If we take 272 away from 280, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 477.088, and the remainder is 0.0008.