77591166 ÷ 353 
The aim is to understand the frequency of 353 in 77591166.

Step 1:
The number 353 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
Subtract 0 from 7 to get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 353

Moving on to step 2:
If we divide 77 by 353, we get 0 and a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Fetch the next digit (5) from the dividend, attach it to 77 and continue: 775 / 353

Going ahead to step 3:
353 goes into 775 2 times with a remainder of 69.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 69 after subtracting 706 from 775.
Fetch the next digit (9) from the dividend, attach it to 69 and continue: 699 / 353

Moving on to step 4:
When dividing 699 by 353, we get 1 with a remainder of 346.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtracting 353 from 699 leaves us with 346.
Append the next digit (1) from the dividend to 346 and continue with: 3461 / 353

On to step 5:
353 can be fit into 3461 9 times, resulting in a remainder of 284.
The number 9 becomes the next digit in our result. 
Result so far: 219.0
Subtracting 3177 from 3461 leaves us with 284.
Take the next digit (1) from the dividend and append it to 284, then repeat: 2841 / 353

Going ahead to step 6:
2841 divided by 353 is 8 with a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 2198.0
Subtracting 2824 from 2841 leaves us with 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 353

Advancing to step 7:
353 goes into 176 0 times with a remainder of 176.
Write down 0 as next digit of the result. 
Result so far: 21980.0
Subtracting 0 from 176 leaves us with 176.
Take the next digit (6) from the dividend and append it to 176, then repeat: 1766 / 353

Moving on to step 8:
When dividing 1766 by 353, we get 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 219805.0
The remainder is 1 after subtracting 1765 from 1766.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
The number 353 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 219805.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
When dividing 100 by 353, we get 0 with a remainder of 100.
Record the quotient 0 as the next digit in the result. 
Result so far: 219805.0
Subtract 0 from 100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The final outcome is 219805.0, with a leftover of 0.1.