We look at the division of 11401731 by 261 
The aim is to understand the frequency of 261 in 11401731.

On to step 1:
The number 261 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 261

Going ahead to step 2:
261 goes into 11 0 times with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 261

On to step 3:
261 goes into 114 0 times with a remainder of 114.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 114 after subtracting 0 from 114.
Bring next digit (0) of the dividend behind the 114 and repeat the process: 1140 / 261

Step 4:
1140 divided by 261 is 4 with a remainder of 96.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 1044 away from 1140, we end up with 96.
Bring next digit (1) of the dividend behind the 96 and repeat the process: 961 / 261

Let's proceed to step 5:
261 can be fit into 961 3 times, resulting in a remainder of 178.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
The remainder is 178 after subtracting 783 from 961.
Grab the next digit (7) from the dividend, add it to 178, then carry on: 1787 / 261

Going ahead to step 6:
261 can be fit into 1787 6 times, resulting in a remainder of 221.
Write down 6 as next digit of the result. 
Result so far: 436.0
The remainder is 221 after subtracting 1566 from 1787.
Append the next digit (3) from the dividend to 221 and continue with: 2213 / 261

Let's proceed to step 7:
When dividing 2213 by 261, we get 8 with a remainder of 125.
The number 8 becomes the next digit in our result. 
Result so far: 4368.0
Subtracting 2088 from 2213 leaves us with 125.
Bring next digit (1) of the dividend behind the 125 and repeat the process: 1251 / 261

Going ahead to step 8:
261 goes into 1251 4 times with a remainder of 207.
Record the quotient 4 as the next digit in the result. 
Result so far: 43684.0
Subtract 1044 from 1251 to get 207.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

Advancing to step 9:
261 goes into 2070 7 times with a remainder of 243.
Write down 7 as next digit of the result. 
Result so far: 43684.7
Subtracting 1827 from 2070 leaves us with 243.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2430, and continue the process.

On to step 10:
261 goes into 2430 9 times with a remainder of 81.
Put 9 as the next digit of the answer. 
Result so far: 43684.79
Subtracting 2349 from 2430 leaves us with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 11:
When dividing 810 by 261, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 43684.793
Deduct 783 from 810 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 12:
270 divided by 261 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 43684.7931
Subtracting 261 from 270 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 13:
The number 261 fits into 90 0 times, leaving a remainder of 90.
Put 0 as the next digit of the answer. 
Result so far: 43684.7931
If we take 0 away from 90, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 14:
The number 261 fits into 900 3 times, leaving a remainder of 117.
The next digit of our result is 3. 
Result so far: 43684.793103
If we take 783 away from 900, we end up with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Let's proceed to step 15:
1170 divided by 261 is 4 with a remainder of 126.
The next digit of our result is 4. 
Result so far: 43684.7931034
The remainder is 126 after subtracting 1044 from 1170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Let's proceed to step 16:
When dividing 1260 by 261, we get 4 with a remainder of 216.
The next digit of our result is 4. 
Result so far: 43684.79310344
Deduct 1044 from 1260 and we're left with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

The final result is 43684.79310344 with a remainder of 2.16e-07.