Let's divide 21905661 by 217
The aim is to understand the frequency of 217 in 21905661.

Let's proceed to step 1:
2 divided by 217 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 217

Step 2:
217 can be fit into 21 0 times, resulting in a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 217

Let's proceed to step 3:
If we divide 219 by 217, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 217 away from 219, we end up with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 217

On to step 4:
217 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 20 leaves us with 20.
Take the next digit (5) from the dividend and append it to 20, then repeat: 205 / 217

Advancing to step 5:
217 goes into 205 0 times with a remainder of 205.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
Subtract 0 from 205 to get 205.
Append the next digit (6) from the dividend to 205 and continue with: 2056 / 217

Moving on to step 6:
If we divide 2056 by 217, we get 9 and a remainder of 103.
The number 9 becomes the next digit in our result. 
Result so far: 1009.0
If we subtract 1953 from 2056, we get 103.
Include the next digit (6) from the dividend after 103, then repeat: 1036 / 217

On to step 7:
If we divide 1036 by 217, we get 4 and a remainder of 168.
The number 4 becomes the next digit in our result. 
Result so far: 10094.0
Subtract 868 from 1036 to get 168.
Append the next digit (1) from the dividend to 168 and continue with: 1681 / 217

Step 8:
217 goes into 1681 7 times with a remainder of 162.
Write down 7 as next digit of the result. 
Result so far: 100947.0
The remainder is 162 after subtracting 1519 from 1681.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

Step 9:
The number 217 fits into 1620 7 times, leaving a remainder of 101.
Use 7 as the next digit of our solution. 
Result so far: 100947.7
Subtract 1519 from 1620 to get 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Moving on to step 10:
When dividing 1010 by 217, we get 4 with a remainder of 142.
The next digit of our result is 4. 
Result so far: 100947.74
If we subtract 868 from 1010, we get 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Let's proceed to step 11:
If we divide 1420 by 217, we get 6 and a remainder of 118.
Use 6 as the next digit of our solution. 
Result so far: 100947.746
The remainder is 118 after subtracting 1302 from 1420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

On to step 12:
217 can be fit into 1180 5 times, resulting in a remainder of 95.
Record the quotient 5 as the next digit in the result. 
Result so far: 100947.7465
If we subtract 1085 from 1180, we get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Let's proceed to step 13:
217 goes into 950 4 times with a remainder of 82.
Put 4 as the next digit of the answer. 
Result so far: 100947.74654
If we subtract 868 from 950, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 14:
The number 217 fits into 820 3 times, leaving a remainder of 169.
The number 3 becomes the next digit in our result. 
Result so far: 100947.746543
Deduct 651 from 820 and we're left with 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1690, and continue the process.

Moving on to step 15:
When dividing 1690 by 217, we get 7 with a remainder of 171.
The next digit of our result is 7. 
Result so far: 100947.7465437
If we take 1519 away from 1690, we end up with 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

Step 16:
217 goes into 1710 7 times with a remainder of 191.
Write down 7 as next digit of the result. 
Result so far: 100947.74654377
If we subtract 1519 from 1710, we get 191.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1910, and continue the process.

In conclusion, the division gives 100947.74654377 with a balance of 1.91e-07.