35770040 divided by 706 
The aim is to understand the frequency of 706 in 35770040.

Advancing to step 1:
When dividing 3 by 706, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 706

Moving on to step 2:
When dividing 35 by 706, we get 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Fetch the next digit (7) from the dividend, attach it to 35 and continue: 357 / 706

Step 3:
357 divided by 706 is 0 with a remainder of 357.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 357 and we're left with 357.
Fetch the next digit (7) from the dividend, attach it to 357 and continue: 3577 / 706

On to step 4:
When dividing 3577 by 706, we get 5 with a remainder of 47.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 3530 from 3577 to get 47.
Append the next digit (0) from the dividend to 47 and continue with: 470 / 706

Let's proceed to step 5:
706 goes into 470 0 times with a remainder of 470.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we take 0 away from 470, we end up with 470.
Append the next digit (0) from the dividend to 470 and continue with: 4700 / 706

Moving on to step 6:
706 goes into 4700 6 times with a remainder of 464.
Put 6 as the next digit of the answer. 
Result so far: 506.0
If we take 4236 away from 4700, we end up with 464.
Include the next digit (4) from the dividend after 464, then repeat: 4644 / 706

Advancing to step 7:
706 goes into 4644 6 times with a remainder of 408.
Put 6 as the next digit of the answer. 
Result so far: 5066.0
The remainder is 408 after subtracting 4236 from 4644.
Fetch the next digit (0) from the dividend, attach it to 408 and continue: 4080 / 706

Advancing to step 8:
The number 706 fits into 4080 5 times, leaving a remainder of 550.
Use 5 as the next digit of our solution. 
Result so far: 50665.0
Deduct 3530 from 4080 and we're left with 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

Let's proceed to step 9:
706 goes into 5500 7 times with a remainder of 558.
Use 7 as the next digit of our solution. 
Result so far: 50665.7
Subtracting 4942 from 5500 leaves us with 558.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

Moving on to step 10:
706 goes into 5580 7 times with a remainder of 638.
Write down 7 as next digit of the result. 
Result so far: 50665.77
Subtracting 4942 from 5580 leaves us with 638.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6380, and continue the process.

Our division results in 50665.77 with a remaining 0.638.