343886 ÷ 42 
The aim is to understand the frequency of 42 in 343886.

Let's proceed to step 1:
The number 42 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 42

Step 2:
42 can be fit into 34 0 times, resulting in a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 42

On to step 3:
If we divide 343 by 42, we get 8 and a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 336 from 343 and we're left with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 42

On to step 4:
The number 42 fits into 78 1 times, leaving a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 81.0
The remainder is 36 after subtracting 42 from 78.
Fetch the next digit (8) from the dividend, attach it to 36 and continue: 368 / 42

Going ahead to step 5:
42 goes into 368 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 818.0
Subtracting 336 from 368 leaves us with 32.
Bring next digit (6) of the dividend behind the 32 and repeat the process: 326 / 42

Advancing to step 6:
42 goes into 326 7 times with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 8187.0
If we subtract 294 from 326, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
The number 42 fits into 320 7 times, leaving a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 8187.7
If we subtract 294 from 320, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
42 goes into 260 6 times with a remainder of 8.
The next digit of our result is 6. 
Result so far: 8187.76
Deduct 252 from 260 and we're left 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.

Advancing to step 9:
42 can be fit into 80 1 times, resulting in a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 8187.761
Subtracting 42 from 80 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 10:
If we divide 380 by 42, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 8187.7619
Deduct 378 from 380 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.

Moving on to step 11:
When dividing 20 by 42, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8187.7619
Subtract 0 from 20 to 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.

On to step 12:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 8187.761904
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 13:
The number 42 fits into 320 7 times, leaving a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 8187.7619047
Subtracting 294 from 320 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
When dividing 260 by 42, we get 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 8187.76190476
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 8187.76190476 with a remaining 8e-09.