77186907 ÷ 231 
The aim is to understand the frequency of 231 in 77186907.

Let's proceed to step 1:
If we divide 7 by 231, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 231

Step 2:
The number 231 fits into 77 0 times, leaving a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 77 to get 77.
Include the next digit (1) from the dividend after 77, then repeat: 771 / 231

Advancing to step 3:
The number 231 fits into 771 3 times, leaving a remainder of 78.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 693 from 771, we get 78.
Fetch the next digit (8) from the dividend, attach it to 78 and continue: 788 / 231

On to step 4:
231 can be fit into 788 3 times, resulting in a remainder of 95.
Put 3 as the next digit of the answer. 
Result so far: 33.0
The remainder is 95 after subtracting 693 from 788.
Fetch the next digit (6) from the dividend, attach it to 95 and continue: 956 / 231

Moving on to step 5:
When dividing 956 by 231, we get 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 334.0
Subtracting 924 from 956 leaves us with 32.
Take the next digit (9) from the dividend and append it to 32, then repeat: 329 / 231

Moving on to step 6:
231 goes into 329 1 times with a remainder of 98.
Record the quotient 1 as the next digit in the result. 
Result so far: 3341.0
If we take 231 away from 329, we end up with 98.
Bring next digit (0) of the dividend behind the 98 and repeat the process: 980 / 231

Going ahead to step 7:
If we divide 980 by 231, we get 4 and a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 33414.0
Deduct 924 from 980 and we're left with 56.
Append the next digit (7) from the dividend to 56 and continue with: 567 / 231

On to step 8:
If we divide 567 by 231, we get 2 and a remainder of 105.
Record the quotient 2 as the next digit in the result. 
Result so far: 334142.0
Deduct 462 from 567 and we're left with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Advancing to step 9:
1050 divided by 231 is 4 with a remainder of 126.
The next digit of our result is 4. 
Result so far: 334142.4
Subtract 924 from 1050 to get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Going ahead to step 10:
If we divide 1260 by 231, we get 5 and a remainder of 105.
The number 5 becomes the next digit in our result. 
Result so far: 334142.45
Subtract 1155 from 1260 to get 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Let's proceed to step 11:
If we divide 1050 by 231, we get 4 and a remainder of 126.
The next digit of our result is 4. 
Result so far: 334142.454
If we subtract 924 from 1050, we get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Going ahead to step 12:
1260 divided by 231 is 5 with a remainder of 105.
Use 5 as the next digit of our solution. 
Result so far: 334142.4545
If we subtract 1155 from 1260, we get 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

On to step 13:
When dividing 1050 by 231, we get 4 with a remainder of 126.
Use 4 as the next digit of our solution. 
Result so far: 334142.45454
Subtract 924 from 1050 to get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

On to step 14:
231 can be fit into 1260 5 times, resulting in a remainder of 105.
Use 5 as the next digit of our solution. 
Result so far: 334142.454545
Subtracting 1155 from 1260 leaves us with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Let's proceed to step 15:
If we divide 1050 by 231, we get 4 and a remainder of 126.
Use 4 as the next digit of our solution. 
Result so far: 334142.4545454
Subtract 924 from 1050 to get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Step 16:
The number 231 fits into 1260 5 times, leaving a remainder of 105.
The number 5 becomes the next digit in our result. 
Result so far: 334142.45454545
Subtracting 1155 from 1260 leaves us with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

In conclusion, the division gives 334142.45454545 with a balance of 1.05e-07.