145685 divided by 42 
The aim is to understand the frequency of 42 in 145685.

Let's proceed to step 1:
When dividing 1 by 42, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 42

Advancing to step 2:
The number 42 fits into 14 0 times, leaving a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 42

On to step 3:
42 goes into 145 3 times with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 126 from 145 and we're left with 19.
Include the next digit (6) from the dividend after 19, then repeat: 196 / 42

Advancing to step 4:
42 goes into 196 4 times with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 34.0
If we take 168 away from 196, we end up with 28.
Fetch the next digit (8) from the dividend, attach it to 28 and continue: 288 / 42

Going ahead to step 5:
When dividing 288 by 42, we get 6 with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 346.0
The remainder is 36 after subtracting 252 from 288.
Bring next digit (5) of the dividend behind the 36 and repeat the process: 365 / 42

On to step 6:
42 goes into 365 8 times with a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 3468.0
If we take 336 away from 365, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
When dividing 290 by 42, we get 6 with a remainder of 38.
The number 6 becomes the next digit in our result. 
Result so far: 3468.6
If we take 252 away from 290, we end up 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.

Let's proceed to step 8:
42 can be fit into 380 9 times, resulting in a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 3468.69
Subtract 378 from 380 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
20 divided by 42 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 3468.69
Subtracting 0 from 20 leaves us 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 10:
When dividing 200 by 42, we get 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 3468.6904
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.

Let's proceed to step 11:
If we divide 320 by 42, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 3468.69047
Subtract 294 from 320 to 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.

Step 12:
260 divided by 42 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 3468.690476
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.

Moving on to step 13:
80 divided by 42 is 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 3468.6904761
Subtract 42 from 80 to get 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 14:
The number 42 fits into 380 9 times, leaving a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 3468.69047619
The remainder is 2 after subtracting 378 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 3468.69047619 with a remaining 2e-09.