42126829 ÷ 279 
The aim is to understand the frequency of 279 in 42126829.

Step 1:
When dividing 4 by 279, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 279

On to step 2:
279 goes into 42 0 times with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 279

Going ahead to step 3:
279 goes into 421 1 times with a remainder of 142.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 279 away from 421, we end up with 142.
Include the next digit (2) from the dividend after 142, then repeat: 1422 / 279

Advancing to step 4:
If we divide 1422 by 279, we get 5 and a remainder of 27.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 1395 from 1422, we get 27.
Fetch the next digit (6) from the dividend, attach it to 27 and continue: 276 / 279

Let's proceed to step 5:
279 goes into 276 0 times with a remainder of 276.
Use 0 as the next digit of our solution. 
Result so far: 150.0
If we subtract 0 from 276, we get 276.
Fetch the next digit (8) from the dividend, attach it to 276 and continue: 2768 / 279

On to step 6:
279 can be fit into 2768 9 times, resulting in a remainder of 257.
Write down 9 as next digit of the result. 
Result so far: 1509.0
Subtract 2511 from 2768 to get 257.
Include the next digit (2) from the dividend after 257, then repeat: 2572 / 279

Let's proceed to step 7:
The number 279 fits into 2572 9 times, leaving a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 15099.0
Subtract 2511 from 2572 to get 61.
Bring next digit (9) of the dividend behind the 61 and repeat the process: 619 / 279

Advancing to step 8:
279 goes into 619 2 times with a remainder of 61.
Record the quotient 2 as the next digit in the result. 
Result so far: 150992.0
If we subtract 558 from 619, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 9:
610 divided by 279 is 2 with a remainder of 52.
The number 2 becomes the next digit in our result. 
Result so far: 150992.2
The remainder is 52 after subtracting 558 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
When dividing 520 by 279, we get 1 with a remainder of 241.
Put 1 as the next digit of the answer. 
Result so far: 150992.21
Deduct 279 from 520 and we're left with 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2410, and continue the process.

Advancing to step 11:
When dividing 2410 by 279, we get 8 with a remainder of 178.
Use 8 as the next digit of our solution. 
Result so far: 150992.218
Subtract 2232 from 2410 to get 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Moving on to step 12:
279 can be fit into 1780 6 times, resulting in a remainder of 106.
Write down 6 as next digit of the result. 
Result so far: 150992.2186
Subtracting 1674 from 1780 leaves us with 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

On to step 13:
1060 divided by 279 is 3 with a remainder of 223.
The number 3 becomes the next digit in our result. 
Result so far: 150992.21863
If we subtract 837 from 1060, we get 223.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2230, and continue the process.

On to step 14:
279 goes into 2230 7 times with a remainder of 277.
The next digit of our result is 7. 
Result so far: 150992.218637
If we subtract 1953 from 2230, we get 277.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

Let's proceed to step 15:
279 goes into 2770 9 times with a remainder of 259.
The number 9 becomes the next digit in our result. 
Result so far: 150992.2186379
If we take 2511 away from 2770, we end up with 259.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2590, and continue the process.

Let's proceed to step 16:
2590 divided by 279 is 9 with a remainder of 79.
The number 9 becomes the next digit in our result. 
Result so far: 150992.21863799
The remainder is 79 after subtracting 2511 from 2590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

In conclusion, the division gives 150992.21863799 with a balance of 7.9e-08.