772661 ÷ 42 
The aim is to understand the frequency of 42 in 772661.

Let's proceed to step 1:
The number 42 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 42

Advancing to step 2:
The number 42 fits into 77 1 times, leaving a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 42 from 77 and we're left with 35.
Take the next digit (2) from the dividend and append it to 35, then repeat: 352 / 42

Let's proceed to step 3:
If we divide 352 by 42, we get 8 and a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 16 after subtracting 336 from 352.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 42

Going ahead to step 4:
166 divided by 42 is 3 with a remainder of 40.
Write down 3 as next digit of the result. 
Result so far: 183.0
The remainder is 40 after subtracting 126 from 166.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 42

Advancing to step 5:
If we divide 406 by 42, we get 9 and a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 1839.0
Subtract 378 from 406 to get 28.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 42

Moving on to step 6:
42 can be fit into 281 6 times, resulting in a remainder of 29.
The number 6 becomes the next digit in our result. 
Result so far: 18396.0
Subtracting 252 from 281 leaves us 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.

Moving on to step 7:
When dividing 290 by 42, we get 6 with a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 18396.6
Subtract 252 from 290 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.

Going ahead to step 8:
When dividing 380 by 42, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 18396.69
If we take 378 away from 380, we end up 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.

Step 9:
When dividing 20 by 42, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 18396.69
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.

Going ahead to step 10:
If we divide 200 by 42, we get 4 and a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 18396.6904
The remainder is 32 after subtracting 168 from 200.
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 11:
320 divided by 42 is 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 18396.69047
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.

Advancing to step 12:
The number 42 fits into 260 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 18396.690476
If we subtract 252 from 260, we get 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:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 18396.6904761
The remainder is 38 after subtracting 42 from 80.
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 14:
The number 42 fits into 380 9 times, leaving a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 18396.69047619
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.

In conclusion, the division gives 18396.69047619 with a balance of 2e-09.