7417601 ÷ 820 
The aim is to understand the frequency of 820 in 7417601.

Going ahead to step 1:
820 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 820

Moving on to step 2:
74 divided by 820 is 0 with a remainder of 74.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 74, we end up with 74.
Include the next digit (1) from the dividend after 74, then repeat: 741 / 820

Moving on to step 3:
820 goes into 741 0 times with a remainder of 741.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 741 to get 741.
Grab the next digit (7) from the dividend, add it to 741, then carry on: 7417 / 820

Going ahead to step 4:
7417 divided by 820 is 9 with a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 37 after subtracting 7380 from 7417.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 820

Let's proceed to step 5:
820 goes into 376 0 times with a remainder of 376.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
Subtract 0 from 376 to get 376.
Append the next digit (0) from the dividend to 376 and continue with: 3760 / 820

Let's proceed to step 6:
820 can be fit into 3760 4 times, resulting in a remainder of 480.
Write down 4 as next digit of the result. 
Result so far: 904.0
Subtracting 3280 from 3760 leaves us with 480.
Take the next digit (1) from the dividend and append it to 480, then repeat: 4801 / 820

Advancing to step 7:
The number 820 fits into 4801 5 times, leaving a remainder of 701.
Record the quotient 5 as the next digit in the result. 
Result so far: 9045.0
Subtracting 4100 from 4801 leaves us with 701.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7010, and continue the process.

Advancing to step 8:
The number 820 fits into 7010 8 times, leaving a remainder of 450.
Use 8 as the next digit of our solution. 
Result so far: 9045.8
The remainder is 450 after subtracting 6560 from 7010.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Moving on to step 9:
If we divide 4500 by 820, we get 5 and a remainder of 400.
The number 5 becomes the next digit in our result. 
Result so far: 9045.85
If we take 4100 away from 4500, we end up with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Moving on to step 10:
820 can be fit into 4000 4 times, resulting in a remainder of 720.
The number 4 becomes the next digit in our result. 
Result so far: 9045.854
Subtract 3280 from 4000 to get 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7200, and continue the process.

Step 11:
If we divide 7200 by 820, we get 8 and a remainder of 640.
The next digit of our result is 8. 
Result so far: 9045.8548
The remainder is 640 after subtracting 6560 from 7200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Let's proceed to step 12:
The number 820 fits into 6400 7 times, leaving a remainder of 660.
Put 7 as the next digit of the answer. 
Result so far: 9045.85487
Deduct 5740 from 6400 and we're left with 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6600, and continue the process.

Going ahead to step 13:
When dividing 6600 by 820, we get 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 9045.854878
Subtract 6560 from 6600 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
If we divide 400 by 820, we get 0 and a remainder of 400.
Record the quotient 0 as the next digit in the result. 
Result so far: 9045.854878
Subtracting 0 from 400 leaves us with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Let's proceed to step 15:
820 goes into 4000 4 times with a remainder of 720.
Record the quotient 4 as the next digit in the result. 
Result so far: 9045.85487804
Subtract 3280 from 4000 to get 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7200, and continue the process.

Our division results in 9045.85487804 with a remaining 7.2e-07.