17664 ÷ 90 
We're looking to find how many times 90 goes into 17664.

On to step 1:
90 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 90

On to step 2:
When dividing 17 by 90, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 90

Step 3:
The number 90 fits into 176 1 times, leaving a remainder of 86.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 90 from 176 leaves us with 86.
Grab the next digit (6) from the dividend, add it to 86, then carry on: 866 / 90

Moving on to step 4:
90 goes into 866 9 times with a remainder of 56.
Use 9 as the next digit of our solution. 
Result so far: 19.0
If we subtract 810 from 866, we get 56.
Fetch the next digit (4) from the dividend, attach it to 56 and continue: 564 / 90

Step 5:
90 can be fit into 564 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 196.0
Deduct 540 from 564 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 6:
When dividing 240 by 90, we get 2 with a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 196.2
Deduct 180 from 240 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 7:
When dividing 600 by 90, we get 6 with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 196.26
If we take 540 away from 600, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
90 goes into 600 6 times with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 196.266
The remainder is 60 after subtracting 540 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final outcome is 196.266, with a leftover of 0.006.