We're dividing 419666 by 20 
We're looking to find how many times 20 goes into 419666.

Let's proceed to step 1:
20 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 20

Advancing to step 2:
When dividing 41 by 20, we get 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 1 after subtracting 40 from 41.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 20

Step 3:
When dividing 19 by 20, we get 0 with a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 20.0
If we subtract 0 from 19, we get 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 20

Step 4:
20 can be fit into 196 9 times, resulting in a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 209.0
Deduct 180 from 196 and we're left with 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 20

Going ahead to step 5:
166 divided by 20 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 2098.0
If we take 160 away from 166, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 20

Step 6:
66 divided by 20 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 20983.0
Subtracting 60 from 66 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 20 fits into 60 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 20983.3
Deduct 60 from 60 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
20 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 20983.3
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
20 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 20983.3
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 20983.3 and a remainder of 0.0.