19669 ÷ 27 
We want to figure out the number of times 19669 can be divided by 27.

Going ahead to step 1:
When dividing 1 by 27, we get 0 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 (9) from the dividend and append it to 1, then repeat: 19 / 27

Let's proceed to step 2:
19 divided by 27 is 0 with a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 19, we end up with 19.
Append the next digit (6) from the dividend to 19 and continue with: 196 / 27

On to step 3:
The number 27 fits into 196 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 189 from 196 and we're left with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 27

Moving on to step 4:
The number 27 fits into 76 2 times, leaving a remainder of 22.
The next digit of our result is 2. 
Result so far: 72.0
The remainder is 22 after subtracting 54 from 76.
Include the next digit (9) from the dividend after 22, then repeat: 229 / 27

Going ahead to step 5:
229 divided by 27 is 8 with a remainder of 13.
The next digit of our result is 8. 
Result so far: 728.0
If we take 216 away from 229, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 6:
If we divide 130 by 27, we get 4 and a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 728.4
Deduct 108 from 130 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
27 goes into 220 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 728.48
The remainder is 4 after subtracting 216 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
When dividing 40 by 27, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 728.481
Subtract 27 from 40 to 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.

Going ahead to step 9:
27 goes into 130 4 times with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 728.4814
If we subtract 108 from 130, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
The number 27 fits into 220 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 728.48148
Subtracting 216 from 220 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.

Moving on to step 11:
27 goes into 40 1 times with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 728.481481
Subtracting 27 from 40 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 12:
27 goes into 130 4 times with a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 728.4814814
Subtract 108 from 130 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
27 goes into 220 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 728.48148148
If we take 216 away from 220, we end up 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 outcome is 728.48148148, with a leftover of 4e-09.