We divide 10606139 by 821
The aim is to understand the frequency of 821 in 10606139.

On to step 1:
1 divided by 821 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 821

Moving on to step 2:
If we divide 10 by 821, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 821

Step 3:
If we divide 106 by 821, we get 0 and a remainder of 106.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 106 and we're left with 106.
Bring next digit (0) of the dividend behind the 106 and repeat the process: 1060 / 821

Step 4:
821 can be fit into 1060 1 times, resulting in a remainder of 239.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 821 away from 1060, we end up with 239.
Grab the next digit (6) from the dividend, add it to 239, then carry on: 2396 / 821

Step 5:
If we divide 2396 by 821, we get 2 and a remainder of 754.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 1642 from 2396, we get 754.
Fetch the next digit (1) from the dividend, attach it to 754 and continue: 7541 / 821

Moving on to step 6:
When dividing 7541 by 821, we get 9 with a remainder of 152.
Write down 9 as next digit of the result. 
Result so far: 129.0
The remainder is 152 after subtracting 7389 from 7541.
Bring next digit (3) of the dividend behind the 152 and repeat the process: 1523 / 821

Moving on to step 7:
1523 divided by 821 is 1 with a remainder of 702.
The number 1 becomes the next digit in our result. 
Result so far: 1291.0
If we take 821 away from 1523, we end up with 702.
Append the next digit (9) from the dividend to 702 and continue with: 7029 / 821

Step 8:
821 goes into 7029 8 times with a remainder of 461.
Put 8 as the next digit of the answer. 
Result so far: 12918.0
If we subtract 6568 from 7029, we get 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Advancing to step 9:
821 can be fit into 4610 5 times, resulting in a remainder of 505.
The next digit of our result is 5. 
Result so far: 12918.5
Subtracting 4105 from 4610 leaves us with 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Let's proceed to step 10:
821 can be fit into 5050 6 times, resulting in a remainder of 124.
Use 6 as the next digit of our solution. 
Result so far: 12918.56
Subtracting 4926 from 5050 leaves us with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

On to step 11:
The number 821 fits into 1240 1 times, leaving a remainder of 419.
Use 1 as the next digit of our solution. 
Result so far: 12918.561
Deduct 821 from 1240 and we're left with 419.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4190, and continue the process.

Going ahead to step 12:
The number 821 fits into 4190 5 times, leaving a remainder of 85.
Write down 5 as next digit of the result. 
Result so far: 12918.5615
If we take 4105 away from 4190, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 13:
The number 821 fits into 850 1 times, leaving a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 12918.56151
Subtracting 821 from 850 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 14:
The number 821 fits into 290 0 times, leaving a remainder of 290.
Put 0 as the next digit of the answer. 
Result so far: 12918.56151
If we subtract 0 from 290, we get 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Advancing to step 15:
If we divide 2900 by 821, we get 3 and a remainder of 437.
The number 3 becomes the next digit in our result. 
Result so far: 12918.5615103
Subtracting 2463 from 2900 leaves us with 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

On to step 16:
When dividing 4370 by 821, we get 5 with a remainder of 265.
Put 5 as the next digit of the answer. 
Result so far: 12918.56151035
If we take 4105 away from 4370, we end up with 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

In conclusion, the division gives 12918.56151035 with a balance of 2.65e-07.