74444 ÷ 17 
Our goal is to divide 74444 by 17.

Going ahead to step 1:
The number 17 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 17

Step 2:
The number 17 fits into 74 4 times, leaving a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 68 from 74 and we're left with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 17

On to step 3:
17 can be fit into 64 3 times, resulting in a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Subtract 51 from 64 to get 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 17

On to step 4:
If we divide 134 by 17, we get 7 and a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 437.0
If we take 119 away from 134, we end up with 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 17

Moving on to step 5:
17 goes into 154 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 4379.0
Subtracting 153 from 154 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
When dividing 10 by 17, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 4379.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
17 can be fit into 100 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 4379.05
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 4379.058
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
17 goes into 140 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 4379.0588
Subtracting 136 from 140 leaves us 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.

The final result is 4379.0588 with a remainder of 4e-05.