Let's divide 22242121 by 169
The aim is to understand the frequency of 169 in 22242121.

Going ahead to step 1:
If we divide 2 by 169, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 169

Advancing to step 2:
When dividing 22 by 169, we get 0 with a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 22 after subtracting 0 from 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 169

On to step 3:
If we divide 222 by 169, we get 1 and a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 169 from 222 leaves us with 53.
Append the next digit (4) from the dividend to 53 and continue with: 534 / 169

Let's proceed to step 4:
If we divide 534 by 169, we get 3 and a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtracting 507 from 534 leaves us with 27.
Take the next digit (2) from the dividend and append it to 27, then repeat: 272 / 169

Going ahead to step 5:
169 goes into 272 1 times with a remainder of 103.
The number 1 becomes the next digit in our result. 
Result so far: 131.0
Deduct 169 from 272 and we're left with 103.
Bring next digit (1) of the dividend behind the 103 and repeat the process: 1031 / 169

Going ahead to step 6:
1031 divided by 169 is 6 with a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 1316.0
Deduct 1014 from 1031 and we're left with 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 169

On to step 7:
When dividing 172 by 169, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 13161.0
If we subtract 169 from 172, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 169

Step 8:
If we divide 31 by 169, we get 0 and a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 131610.0
If we subtract 0 from 31, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 9:
The number 169 fits into 310 1 times, leaving a remainder of 141.
Put 1 as the next digit of the answer. 
Result so far: 131610.1
Subtract 169 from 310 to get 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

On to step 10:
The number 169 fits into 1410 8 times, leaving a remainder of 58.
Use 8 as the next digit of our solution. 
Result so far: 131610.18
If we subtract 1352 from 1410, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 11:
169 goes into 580 3 times with a remainder of 73.
Put 3 as the next digit of the answer. 
Result so far: 131610.183
If we subtract 507 from 580, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 12:
If we divide 730 by 169, we get 4 and a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 131610.1834
If we take 676 away from 730, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 13:
When dividing 540 by 169, we get 3 with a remainder of 33.
Record the quotient 3 as the next digit in the result. 
Result so far: 131610.18343
The remainder is 33 after subtracting 507 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 14:
169 can be fit into 330 1 times, resulting in a remainder of 161.
The number 1 becomes the next digit in our result. 
Result so far: 131610.183431
The remainder is 161 after subtracting 169 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1610, and continue the process.

Going ahead to step 15:
The number 169 fits into 1610 9 times, leaving a remainder of 89.
Record the quotient 9 as the next digit in the result. 
Result so far: 131610.1834319
Subtract 1521 from 1610 to get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 16:
When dividing 890 by 169, we get 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 131610.18343195
Subtract 845 from 890 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 131610.18343195, and the remainder is 4.5e-08.