We divide 77730 by 71
The aim is to understand the frequency of 71 in 77730.

On to step 1:
The number 71 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 71

Moving on to step 2:
When dividing 77 by 71, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 71 from 77 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 71

Moving on to step 3:
67 divided by 71 is 0 with a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 67 and we're left with 67.
Grab the next digit (3) from the dividend, add it to 67, then carry on: 673 / 71

Moving on to step 4:
71 can be fit into 673 9 times, resulting in a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 109.0
If we take 639 away from 673, we end up with 34.
Include the next digit (0) from the dividend after 34, then repeat: 340 / 71

Step 5:
If we divide 340 by 71, we get 4 and a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 1094.0
Subtracting 284 from 340 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 6:
The number 71 fits into 560 7 times, leaving a remainder of 63.
Put 7 as the next digit of the answer. 
Result so far: 1094.7
Subtracting 497 from 560 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 7:
If we divide 630 by 71, we get 8 and a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 1094.78
Subtracting 568 from 630 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 8:
When dividing 620 by 71, we get 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 1094.788
The remainder is 52 after subtracting 568 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 1094.788, and the remainder is 0.0052.