We're dividing 4414 by 8 
We want to divide 4414 by 8.

Advancing to step 1:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 8

Going ahead to step 2:
The number 8 fits into 44 5 times, leaving a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 40 from 44 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 8

Let's proceed to step 3:
8 goes into 41 5 times with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we take 40 away from 41, we end up with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 8

On to step 4:
8 goes into 14 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 551.0
Subtract 8 from 14 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 5:
The number 8 fits into 60 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 551.7
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 6:
8 can be fit into 40 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 551.75
Subtract 40 from 40 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 7:
8 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 551.75
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.

Moving on to step 8:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 551.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 551.75 with a balance of 0.0.