17444 ÷ 17 
We're looking to find how many times 17 goes into 17444.

Going ahead to step 1:
17 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 17

Let's proceed to step 2:
17 can be fit into 17 1 times, resulting in a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 17 from 17 leaves us with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 17

Moving on to step 3:
The number 17 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 4, we end up with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 17

On to step 4:
When dividing 44 by 17, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
Subtracting 34 from 44 leaves us with 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 17

Moving on to step 5:
When dividing 104 by 17, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 1026.0
Subtracting 102 from 104 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 6:
17 goes into 20 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1026.1
If we take 17 away from 20, we end up with 3.
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 7:
If we divide 30 by 17, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1026.11
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 1026.11 with a balance of 0.013.