We look at the division of 17744 by 89 
We want to figure out the number of times 17744 can be divided by 89.

Moving on to step 1:
89 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 89

Going ahead to step 2:
If we divide 17 by 89, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 89

Let's proceed to step 3:
89 can be fit into 177 1 times, resulting in a remainder of 88.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 89 from 177 leaves us with 88.
Take the next digit (4) from the dividend and append it to 88, then repeat: 884 / 89

Advancing to step 4:
When dividing 884 by 89, we get 9 with a remainder of 83.
Use 9 as the next digit of our solution. 
Result so far: 19.0
If we take 801 away from 884, we end up with 83.
Fetch the next digit (4) from the dividend, attach it to 83 and continue: 834 / 89

Moving on to step 5:
If we divide 834 by 89, we get 9 and a remainder of 33.
The next digit of our result is 9. 
Result so far: 199.0
The remainder is 33 after subtracting 801 from 834.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 6:
If we divide 330 by 89, we get 3 and a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 199.3
Subtracting 267 from 330 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 7:
89 goes into 630 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 199.37
The remainder is 7 after subtracting 623 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
89 can be fit into 70 0 times, resulting in a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 199.37
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 9:
When dividing 700 by 89, we get 7 with a remainder of 77.
Record the quotient 7 as the next digit in the result. 
Result so far: 199.3707
Subtract 623 from 700 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 10:
770 divided by 89 is 8 with a remainder of 58.
Record the quotient 8 as the next digit in the result. 
Result so far: 199.37078
Deduct 712 from 770 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 11:
89 goes into 580 6 times with a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 199.370786
If we take 534 away from 580, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
If we divide 460 by 89, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 199.3707865
The remainder is 15 after subtracting 445 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 13:
89 can be fit into 150 1 times, resulting in a remainder of 61.
Write down 1 as next digit of the result. 
Result so far: 199.37078651
If we subtract 89 from 150, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Our division results in 199.37078651 with a remaining 6.1e-08.