177204 ÷ 213 
The aim is to understand the frequency of 213 in 177204.

Advancing to step 1:
The number 213 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 213

Going ahead to step 2:
If we divide 17 by 213, we get 0 and a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 213

Let's proceed to step 3:
213 can be fit into 177 0 times, resulting in a remainder of 177.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 177 and we're left with 177.
Append the next digit (2) from the dividend to 177 and continue with: 1772 / 213

Let's proceed to step 4:
213 can be fit into 1772 8 times, resulting in a remainder of 68.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 1704 from 1772 to get 68.
Grab the next digit (0) from the dividend, add it to 68, then carry on: 680 / 213

On to step 5:
213 can be fit into 680 3 times, resulting in a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 83.0
If we subtract 639 from 680, we get 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 213

Moving on to step 6:
The number 213 fits into 414 1 times, leaving a remainder of 201.
The number 1 becomes the next digit in our result. 
Result so far: 831.0
Subtract 213 from 414 to get 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

Going ahead to step 7:
The number 213 fits into 2010 9 times, leaving a remainder of 93.
Put 9 as the next digit of the answer. 
Result so far: 831.9
Subtract 1917 from 2010 to get 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

Going ahead to step 8:
The number 213 fits into 930 4 times, leaving a remainder of 78.
The number 4 becomes the next digit in our result. 
Result so far: 831.94
If we take 852 away from 930, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 9:
If we divide 780 by 213, we get 3 and a remainder of 141.
The number 3 becomes the next digit in our result. 
Result so far: 831.943
Subtract 639 from 780 to get 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Let's proceed to step 10:
1410 divided by 213 is 6 with a remainder of 132.
Record the quotient 6 as the next digit in the result. 
Result so far: 831.9436
Deduct 1278 from 1410 and we're left with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Let's proceed to step 11:
If we divide 1320 by 213, we get 6 and a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 831.94366
If we subtract 1278 from 1320, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 831.94366 with a balance of 4.2e-05.