777137 ÷ 71 
The aim is to understand the frequency of 71 in 777137.

Let's proceed 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.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 71

Moving on to step 2:
77 divided by 71 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 71 away from 77, we end up with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 71

Moving on to step 3:
If we divide 67 by 71, we get 0 and a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 67 after subtracting 0 from 67.
Take the next digit (1) from the dividend and append it to 67, then repeat: 671 / 71

On to step 4:
71 can be fit into 671 9 times, resulting in a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 109.0
Subtracting 639 from 671 leaves us with 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 71

Step 5:
71 can be fit into 323 4 times, resulting in a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 1094.0
If we take 284 away from 323, we end up with 39.
Append the next digit (7) from the dividend to 39 and continue with: 397 / 71

Let's proceed to step 6:
If we divide 397 by 71, we get 5 and a remainder of 42.
The number 5 becomes the next digit in our result. 
Result so far: 10945.0
The remainder is 42 after subtracting 355 from 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
If we divide 420 by 71, we get 5 and a remainder of 65.
The next digit of our result is 5. 
Result so far: 10945.5
If we subtract 355 from 420, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 8:
If we divide 650 by 71, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 10945.59
Subtracting 639 from 650 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
When dividing 110 by 71, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 10945.591
Subtracting 71 from 110 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 10:
71 goes into 390 5 times with a remainder of 35.
The next digit of our result is 5. 
Result so far: 10945.5915
If we subtract 355 from 390, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 11:
If we divide 350 by 71, we get 4 and a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 10945.59154
The remainder is 66 after subtracting 284 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 12:
If we divide 660 by 71, we get 9 and a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 10945.591549
Deduct 639 from 660 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 13:
210 divided by 71 is 2 with a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 10945.5915492
Subtract 142 from 210 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 14:
71 can be fit into 680 9 times, resulting in a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 10945.59154929
Subtract 639 from 680 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Our division results in 10945.59154929 with a remaining 4.1e-08.