We look at the division of 775777 by 45 
The aim is to understand the frequency of 45 in 775777.

On to step 1:
45 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 45

Advancing to step 2:
If we divide 77 by 45, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 32 after subtracting 45 from 77.
Include the next digit (5) from the dividend after 32, then repeat: 325 / 45

Advancing to step 3:
45 goes into 325 7 times with a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtract 315 from 325 to get 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 45

Step 4:
If we divide 107 by 45, we get 2 and a remainder of 17.
The next digit of our result is 2. 
Result so far: 172.0
Subtract 90 from 107 to get 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 45

On to step 5:
177 divided by 45 is 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 1723.0
The remainder is 42 after subtracting 135 from 177.
Grab the next digit (7) from the dividend, add it to 42, then carry on: 427 / 45

Moving on to step 6:
The number 45 fits into 427 9 times, leaving a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 17239.0
Deduct 405 from 427 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.

Going ahead to step 7:
220 divided by 45 is 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 17239.4
Deduct 180 from 220 and we're left 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.

Step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 17239.48
If we take 360 away from 400, we end up 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.

Moving on to step 9:
When dividing 400 by 45, we get 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 17239.488
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 17239.488 with a remainder of 0.004.