665719 ÷ 30 
Our goal is to divide 665719 by 30.

Advancing to step 1:
30 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 30

Advancing to step 2:
30 goes into 66 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 60 away from 66, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 30

Going ahead to step 3:
The number 30 fits into 65 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 22.0
The remainder is 5 after subtracting 60 from 65.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 30

Moving on to step 4:
The number 30 fits into 57 1 times, leaving a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 221.0
Subtract 30 from 57 to get 27.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 30

Let's proceed to step 5:
The number 30 fits into 271 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 2219.0
If we take 270 away from 271, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 30

On to step 6:
When dividing 19 by 30, we get 0 with a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 22190.0
If we take 0 away from 19, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
30 goes into 190 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 22190.6
If we take 180 away from 190, we end up 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.

On to step 8:
30 goes into 100 3 times with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 22190.63
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
100 divided by 30 is 3 with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 22190.633
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 22190.633, and the remainder is 0.001.