461665 ÷ 21 
We want to figure out the number of times 461665 can be divided by 21.

Let's proceed to step 1:
21 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 21

On to step 2:
When dividing 46 by 21, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 42 from 46 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 21

Going ahead to step 3:
The number 21 fits into 41 1 times, leaving a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 21.0
If we subtract 21 from 41, we get 20.
Include the next digit (6) from the dividend after 20, then repeat: 206 / 21

Let's proceed to step 4:
206 divided by 21 is 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 219.0
The remainder is 17 after subtracting 189 from 206.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 21

Let's proceed to step 5:
21 goes into 176 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 2198.0
Subtract 168 from 176 to get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 21

Going ahead to step 6:
21 can be fit into 85 4 times, resulting in a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 21984.0
Deduct 84 from 85 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
21 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 21984.0
Subtract 0 from 10 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.

Let's proceed to step 8:
When dividing 100 by 21, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 21984.04
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
When dividing 160 by 21, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 21984.047
Deduct 147 from 160 and we're left 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 10:
21 goes into 130 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 21984.0476
Deduct 126 from 130 and we're left 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.

Step 11:
If we divide 40 by 21, we get 1 and a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 21984.04761
Subtract 21 from 40 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 12:
The number 21 fits into 190 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 21984.047619
The remainder is 1 after subtracting 189 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 13:
If we divide 10 by 21, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 21984.047619
Subtract 0 from 10 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 14:
100 divided by 21 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 21984.04761904
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 21984.04761904 with a remainder of 1.6e-08.