We divide 419705 by 21
The aim is to understand the frequency of 21 in 419705.

Step 1:
4 divided by 21 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 21

Moving on to step 2:
21 can be fit into 41 1 times, resulting in a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 21 away from 41, we end up with 20.
Include the next digit (9) from the dividend after 20, then repeat: 209 / 21

Moving on to step 3:
If we divide 209 by 21, we get 9 and a remainder of 20.
The next digit of our result is 9. 
Result so far: 19.0
Deduct 189 from 209 and we're left with 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 21

Going ahead to step 4:
207 divided by 21 is 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 199.0
If we subtract 189 from 207, we get 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 21

Moving on to step 5:
The number 21 fits into 180 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1998.0
If we subtract 168 from 180, we get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 21

Advancing to step 6:
If we divide 125 by 21, we get 5 and a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 19985.0
If we subtract 105 from 125, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
21 goes into 200 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 19985.9
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 21 fits into 110 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 19985.95
Subtracting 105 from 110 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
When dividing 50 by 21, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 19985.952
If we take 42 away from 50, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
The number 21 fits into 80 3 times, leaving a remainder of 17.
The next digit of our result is 3. 
Result so far: 19985.9523
Deduct 63 from 80 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 11:
21 goes into 170 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 19985.95238
Deduct 168 from 170 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
21 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 19985.95238
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 13:
The number 21 fits into 200 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 19985.9523809
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 14:
21 can be fit into 110 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 19985.95238095
The remainder is 5 after subtracting 105 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 19985.95238095, and the remainder is 5e-09.