34221 divided by 44 
Our goal is to divide 34221 by 44.

Going ahead to step 1:
3 divided by 44 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 44

Step 2:
34 divided by 44 is 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Bring next digit (2) of the dividend behind the 34 and repeat the process: 342 / 44

Going ahead to step 3:
The number 44 fits into 342 7 times, leaving a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 308 from 342, we get 34.
Fetch the next digit (2) from the dividend, attach it to 34 and continue: 342 / 44

Going ahead to step 4:
44 goes into 342 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
If we take 308 away from 342, we end up with 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 44

On to step 5:
The number 44 fits into 341 7 times, leaving a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 777.0
If we subtract 308 from 341, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 6:
If we divide 330 by 44, we get 7 and a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 777.7
Deduct 308 from 330 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
When dividing 220 by 44, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 777.75
The remainder is 0 after subtracting 220 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
The number 44 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 777.75
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 44 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 777.75
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 777.75, with a leftover of 0.0.