35770 ÷ 42 
The aim is to understand the frequency of 42 in 35770.

Going ahead to step 1:
42 can be fit into 3 0 times, resulting in 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.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 42

Going ahead to step 2:
42 goes into 35 0 times with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Grab the next digit (7) from the dividend, add it to 35, then carry on: 357 / 42

Advancing to step 3:
When dividing 357 by 42, we get 8 with a remainder of 21.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 336 from 357 to get 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 42

Step 4:
If we divide 217 by 42, we get 5 and a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
If we subtract 210 from 217, we get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 42

Advancing to step 5:
When dividing 70 by 42, we get 1 with a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 851.0
The remainder is 28 after subtracting 42 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 6:
The number 42 fits into 280 6 times, leaving a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 851.6
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
280 divided by 42 is 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 851.66
Deduct 252 from 280 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 851.66 with a balance of 0.028.