71313048 ÷ 821 
The aim is to understand the frequency of 821 in 71313048.

Advancing to step 1:
821 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 821

On to step 2:
The number 821 fits into 71 0 times, leaving a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Fetch the next digit (3) from the dividend, attach it to 71 and continue: 713 / 821

Step 3:
The number 821 fits into 713 0 times, leaving a remainder of 713.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 713 after subtracting 0 from 713.
Take the next digit (1) from the dividend and append it to 713, then repeat: 7131 / 821

Step 4:
When dividing 7131 by 821, we get 8 with a remainder of 563.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 6568 from 7131 and we're left with 563.
Include the next digit (3) from the dividend after 563, then repeat: 5633 / 821

Advancing to step 5:
821 goes into 5633 6 times with a remainder of 707.
The next digit of our result is 6. 
Result so far: 86.0
Subtracting 4926 from 5633 leaves us with 707.
Fetch the next digit (0) from the dividend, attach it to 707 and continue: 7070 / 821

Going ahead to step 6:
821 can be fit into 7070 8 times, resulting in a remainder of 502.
Record the quotient 8 as the next digit in the result. 
Result so far: 868.0
Subtracting 6568 from 7070 leaves us with 502.
Grab the next digit (4) from the dividend, add it to 502, then carry on: 5024 / 821

Going ahead to step 7:
The number 821 fits into 5024 6 times, leaving a remainder of 98.
Write down 6 as next digit of the result. 
Result so far: 8686.0
If we take 4926 away from 5024, we end up with 98.
Append the next digit (8) from the dividend to 98 and continue with: 988 / 821

Moving on to step 8:
When dividing 988 by 821, we get 1 with a remainder of 167.
Use 1 as the next digit of our solution. 
Result so far: 86861.0
If we subtract 821 from 988, we get 167.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1670, and continue the process.

Let's proceed to step 9:
821 can be fit into 1670 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 86861.2
Subtract 1642 from 1670 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
821 goes into 280 0 times with a remainder of 280.
The number 0 becomes the next digit in our result. 
Result so far: 86861.2
Subtract 0 from 280 to get 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Step 11:
821 can be fit into 2800 3 times, resulting in a remainder of 337.
The number 3 becomes the next digit in our result. 
Result so far: 86861.203
Subtracting 2463 from 2800 leaves us with 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3370, and continue the process.

Moving on to step 12:
The number 821 fits into 3370 4 times, leaving a remainder of 86.
Write down 4 as next digit of the result. 
Result so far: 86861.2034
Subtract 3284 from 3370 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 13:
821 goes into 860 1 times with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 86861.20341
If we take 821 away from 860, we end up 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.

Step 14:
The number 821 fits into 390 0 times, leaving a remainder of 390.
Use 0 as the next digit of our solution. 
Result so far: 86861.20341
If we take 0 away from 390, we end up with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Let's proceed to step 15:
The number 821 fits into 3900 4 times, leaving a remainder of 616.
The next digit of our result is 4. 
Result so far: 86861.2034104
Deduct 3284 from 3900 and we're left with 616.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6160, and continue the process.

On to step 16:
6160 divided by 821 is 7 with a remainder of 413.
Put 7 as the next digit of the answer. 
Result so far: 86861.20341047
If we take 5747 away from 6160, we end up with 413.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4130, and continue the process.

Our division results in 86861.20341047 with a remaining 4.13e-07.