88228556 ÷ 261 
The aim is to understand the frequency of 261 in 88228556.

On to step 1:
The number 261 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 261

Advancing to step 2:
When dividing 88 by 261, we get 0 with a remainder of 88.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 88, we get 88.
Append the next digit (2) from the dividend to 88 and continue with: 882 / 261

Step 3:
If we divide 882 by 261, we get 3 and a remainder of 99.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 783 from 882 leaves us with 99.
Fetch the next digit (2) from the dividend, attach it to 99 and continue: 992 / 261

Let's proceed to step 4:
261 can be fit into 992 3 times, resulting in a remainder of 209.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Deduct 783 from 992 and we're left with 209.
Bring next digit (8) of the dividend behind the 209 and repeat the process: 2098 / 261

Moving on to step 5:
When dividing 2098 by 261, we get 8 with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 338.0
Deduct 2088 from 2098 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 261

Step 6:
105 divided by 261 is 0 with a remainder of 105.
The number 0 becomes the next digit in our result. 
Result so far: 3380.0
Deduct 0 from 105 and we're left with 105.
Include the next digit (5) from the dividend after 105, then repeat: 1055 / 261

Advancing to step 7:
The number 261 fits into 1055 4 times, leaving a remainder of 11.
The next digit of our result is 4. 
Result so far: 33804.0
If we subtract 1044 from 1055, we get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 261

Let's proceed to step 8:
116 divided by 261 is 0 with a remainder of 116.
Write down 0 as next digit of the result. 
Result so far: 338040.0
Subtracting 0 from 116 leaves us with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Let's proceed to step 9:
261 can be fit into 1160 4 times, resulting in a remainder of 116.
Record the quotient 4 as the next digit in the result. 
Result so far: 338040.4
Subtract 1044 from 1160 to get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Step 10:
The number 261 fits into 1160 4 times, leaving a remainder of 116.
Write down 4 as next digit of the result. 
Result so far: 338040.44
If we subtract 1044 from 1160, we get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

After the division, we end up with 338040.44 and a remainder of 0.116.