316149 ÷ 821 
The aim is to understand the frequency of 821 in 316149.

Advancing to step 1:
When dividing 3 by 821, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 821

On to step 2:
31 divided by 821 is 0 with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 821

On to step 3:
821 goes into 316 0 times with a remainder of 316.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 316 and we're left with 316.
Take the next digit (1) from the dividend and append it to 316, then repeat: 3161 / 821

On to step 4:
When dividing 3161 by 821, we get 3 with a remainder of 698.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 698 after subtracting 2463 from 3161.
Grab the next digit (4) from the dividend, add it to 698, then carry on: 6984 / 821

Going ahead to step 5:
The number 821 fits into 6984 8 times, leaving a remainder of 416.
Put 8 as the next digit of the answer. 
Result so far: 38.0
If we subtract 6568 from 6984, we get 416.
Bring next digit (9) of the dividend behind the 416 and repeat the process: 4169 / 821

Step 6:
821 goes into 4169 5 times with a remainder of 64.
Use 5 as the next digit of our solution. 
Result so far: 385.0
Subtracting 4105 from 4169 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 7:
821 can be fit into 640 0 times, resulting in a remainder of 640.
Record the quotient 0 as the next digit in the result. 
Result so far: 385.0
Deduct 0 from 640 and we're left with 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Going ahead to step 8:
If we divide 6400 by 821, we get 7 and a remainder of 653.
The number 7 becomes the next digit in our result. 
Result so far: 385.07
Subtract 5747 from 6400 to get 653.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6530, and continue the process.

Let's proceed to step 9:
The number 821 fits into 6530 7 times, leaving a remainder of 783.
The number 7 becomes the next digit in our result. 
Result so far: 385.077
Deduct 5747 from 6530 and we're left with 783.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7830, and continue the process.

The quotient of the division is 385.077, and the remainder is 0.0783.