We divide 1669 by 71
The aim is to understand the frequency of 71 in 1669.

Let's proceed to step 1:
If we divide 1 by 71, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 71

Moving on to step 2:
16 divided by 71 is 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 16 to get 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 71

Going ahead to step 3:
If we divide 166 by 71, we get 2 and a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 142 from 166 leaves us with 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 71

Advancing to step 4:
When dividing 249 by 71, we get 3 with a remainder of 36.
The next digit of our result is 3. 
Result so far: 23.0
If we subtract 213 from 249, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 5:
When dividing 360 by 71, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 23.5
If we take 355 away from 360, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
When dividing 50 by 71, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 23.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
When dividing 500 by 71, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 23.507
Subtracting 497 from 500 leaves us 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.

Going ahead to step 8:
The number 71 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 23.507
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
If we divide 300 by 71, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 23.50704
The remainder is 16 after subtracting 284 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
If we divide 160 by 71, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 23.507042
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.

Step 11:
71 goes into 180 2 times with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 23.5070422
The remainder is 38 after subtracting 142 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final outcome is 23.5070422, with a leftover of 3.8e-07.