We look at the division of 407969 by 71 
The aim is to understand the frequency of 71 in 407969.

On to step 1:
If we divide 4 by 71, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 71

On to step 2:
71 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Grab the next digit (7) from the dividend, add it to 40, then carry on: 407 / 71

Moving on to step 3:
If we divide 407 by 71, we get 5 and a remainder of 52.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 355 from 407 to get 52.
Bring next digit (9) of the dividend behind the 52 and repeat the process: 529 / 71

Advancing to step 4:
529 divided by 71 is 7 with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
The remainder is 32 after subtracting 497 from 529.
Append the next digit (6) from the dividend to 32 and continue with: 326 / 71

Advancing to step 5:
71 goes into 326 4 times with a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 574.0
Deduct 284 from 326 and we're left with 42.
Take the next digit (9) from the dividend and append it to 42, then repeat: 429 / 71

On to step 6:
71 can be fit into 429 6 times, resulting in a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 5746.0
Deduct 426 from 429 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
30 divided by 71 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 5746.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
The number 71 fits into 300 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 5746.04
Deduct 284 from 300 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 71 is 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 5746.042
If we subtract 142 from 160, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
When dividing 180 by 71, we get 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 5746.0422
Subtracting 142 from 180 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 5746.0422 with a remaining 0.00038.