690149 ÷ 823 
The aim is to understand the frequency of 823 in 690149.

Advancing to step 1:
The number 823 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 823

On to step 2:
If we divide 69 by 823, we get 0 and a remainder of 69.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 69, we end up with 69.
Fetch the next digit (0) from the dividend, attach it to 69 and continue: 690 / 823

Advancing to step 3:
823 goes into 690 0 times with a remainder of 690.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 690, we get 690.
Include the next digit (1) from the dividend after 690, then repeat: 6901 / 823

Advancing to step 4:
When dividing 6901 by 823, we get 8 with a remainder of 317.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 317 after subtracting 6584 from 6901.
Bring next digit (4) of the dividend behind the 317 and repeat the process: 3174 / 823

Going ahead to step 5:
If we divide 3174 by 823, we get 3 and a remainder of 705.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
Deduct 2469 from 3174 and we're left with 705.
Grab the next digit (9) from the dividend, add it to 705, then carry on: 7059 / 823

Let's proceed to step 6:
When dividing 7059 by 823, we get 8 with a remainder of 475.
The next digit of our result is 8. 
Result so far: 838.0
Subtract 6584 from 7059 to get 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Let's proceed to step 7:
823 can be fit into 4750 5 times, resulting in a remainder of 635.
Record the quotient 5 as the next digit in the result. 
Result so far: 838.5
The remainder is 635 after subtracting 4115 from 4750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6350, and continue the process.

On to step 8:
The number 823 fits into 6350 7 times, leaving a remainder of 589.
Write down 7 as next digit of the result. 
Result so far: 838.57
Deduct 5761 from 6350 and we're left with 589.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5890, and continue the process.

Moving on to step 9:
823 can be fit into 5890 7 times, resulting in a remainder of 129.
Use 7 as the next digit of our solution. 
Result so far: 838.577
The remainder is 129 after subtracting 5761 from 5890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1290, and continue the process.

Our division results in 838.577 with a remaining 0.0129.