69836869 ÷ 42 
The aim is to understand the frequency of 42 in 69836869.

Let's proceed to step 1:
6 divided by 42 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 42

On to step 2:
The number 42 fits into 69 1 times, leaving a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 42 away from 69, we end up with 27.
Fetch the next digit (8) from the dividend, attach it to 27 and continue: 278 / 42

Advancing to step 3:
When dividing 278 by 42, we get 6 with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 252 from 278, we get 26.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 42

On to step 4:
When dividing 263 by 42, we get 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 166.0
Subtract 252 from 263 to get 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 42

Moving on to step 5:
42 can be fit into 116 2 times, resulting in a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 1662.0
Subtract 84 from 116 to get 32.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 42

Moving on to step 6:
If we divide 328 by 42, we get 7 and a remainder of 34.
The next digit of our result is 7. 
Result so far: 16627.0
Deduct 294 from 328 and we're left with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 42

On to step 7:
If we divide 346 by 42, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 166278.0
If we subtract 336 from 346, we get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 42

On to step 8:
When dividing 109 by 42, we get 2 with a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 1662782.0
If we subtract 84 from 109, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
The number 42 fits into 250 5 times, leaving a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 1662782.5
Subtracting 210 from 250 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 1662782.59
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
The number 42 fits into 220 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 1662782.595
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
If we divide 100 by 42, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 1662782.5952
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 1662782.59523
Deduct 126 from 160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 14:
42 can be fit into 340 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 1662782.595238
If we take 336 away from 340, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 15:
If we divide 40 by 42, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 1662782.595238
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 16:
When dividing 400 by 42, we get 9 with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 1662782.59523809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final result is 1662782.59523809 with a remainder of 2.2e-08.