We're dividing 711177 by 9 
The aim is to understand the frequency of 9 in 711177.

Step 1:
The number 9 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 9

Step 2:
The number 9 fits into 71 7 times, leaving a remainder of 8.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 63 from 71 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 9

Going ahead to step 3:
The number 9 fits into 81 9 times, leaving a remainder of 0.
The next digit of our result is 9. 
Result so far: 79.0
Subtract 81 from 81 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 9

Step 4:
The number 9 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 790.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 9

Step 5:
17 divided by 9 is 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 7901.0
Subtracting 9 from 17 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 9

On to step 6:
If we divide 87 by 9, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 79019.0
Subtract 81 from 87 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
9 goes into 60 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 79019.6
If we take 54 away from 60, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
The number 9 fits into 60 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 79019.66
Subtract 54 from 60 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 79019.66 and a remainder of 0.006.