766040 divided by 71 
The aim is to understand the frequency of 71 in 766040.

Going ahead to step 1:
If we divide 7 by 71, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 71

Moving on to step 2:
71 can be fit into 76 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 71 from 76 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 71

Going ahead to step 3:
56 divided by 71 is 0 with a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 56, we get 56.
Include the next digit (0) from the dividend after 56, then repeat: 560 / 71

Advancing to step 4:
71 goes into 560 7 times with a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 107.0
If we subtract 497 from 560, we get 63.
Fetch the next digit (4) from the dividend, attach it to 63 and continue: 634 / 71

On to step 5:
634 divided by 71 is 8 with a remainder of 66.
Put 8 as the next digit of the answer. 
Result so far: 1078.0
The remainder is 66 after subtracting 568 from 634.
Bring next digit (0) of the dividend behind the 66 and repeat the process: 660 / 71

Advancing to step 6:
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: 10789.0
The remainder is 21 after subtracting 639 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
The number 71 fits into 210 2 times, leaving a remainder of 68.
The next digit of our result is 2. 
Result so far: 10789.2
If we subtract 142 from 210, we 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.

Let's proceed to step 8:
71 goes into 680 9 times with a remainder of 41.
The next digit of our result is 9. 
Result so far: 10789.29
Deduct 639 from 680 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 9:
If we divide 410 by 71, we get 5 and a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 10789.295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 10:
71 can be fit into 550 7 times, resulting in a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 10789.2957
If we subtract 497 from 550, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 11:
If we divide 530 by 71, we get 7 and a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 10789.29577
Deduct 497 from 530 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 10789.29577 with a remainder of 3.3e-05.