35570042 ÷ 261 
The aim is to understand the frequency of 261 in 35570042.

On to step 1:
The number 261 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 261

Moving on to step 2:
261 goes into 35 0 times with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 261

Step 3:
261 can be fit into 355 1 times, resulting in a remainder of 94.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 261 from 355 and we're left with 94.
Take the next digit (7) from the dividend and append it to 94, then repeat: 947 / 261

Moving on to step 4:
261 can be fit into 947 3 times, resulting in a remainder of 164.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Deduct 783 from 947 and we're left with 164.
Append the next digit (0) from the dividend to 164 and continue with: 1640 / 261

On to step 5:
261 can be fit into 1640 6 times, resulting in a remainder of 74.
Write down 6 as next digit of the result. 
Result so far: 136.0
If we take 1566 away from 1640, we end up with 74.
Include the next digit (0) from the dividend after 74, then repeat: 740 / 261

Moving on to step 6:
261 can be fit into 740 2 times, resulting in a remainder of 218.
Put 2 as the next digit of the answer. 
Result so far: 1362.0
Subtracting 522 from 740 leaves us with 218.
Take the next digit (4) from the dividend and append it to 218, then repeat: 2184 / 261

Going ahead to step 7:
The number 261 fits into 2184 8 times, leaving a remainder of 96.
Use 8 as the next digit of our solution. 
Result so far: 13628.0
Deduct 2088 from 2184 and we're left with 96.
Grab the next digit (2) from the dividend, add it to 96, then carry on: 962 / 261

Step 8:
962 divided by 261 is 3 with a remainder of 179.
Record the quotient 3 as the next digit in the result. 
Result so far: 136283.0
If we subtract 783 from 962, we get 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1790, and continue the process.

Advancing to step 9:
When dividing 1790 by 261, we get 6 with a remainder of 224.
The next digit of our result is 6. 
Result so far: 136283.6
Subtracting 1566 from 1790 leaves us with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

On to step 10:
The number 261 fits into 2240 8 times, leaving a remainder of 152.
Write down 8 as next digit of the result. 
Result so far: 136283.68
Subtracting 2088 from 2240 leaves us with 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Going ahead to step 11:
The number 261 fits into 1520 5 times, leaving a remainder of 215.
Use 5 as the next digit of our solution. 
Result so far: 136283.685
If we take 1305 away from 1520, we end up with 215.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2150, and continue the process.

Step 12:
The number 261 fits into 2150 8 times, leaving a remainder of 62.
The next digit of our result is 8. 
Result so far: 136283.6858
Subtract 2088 from 2150 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 13:
261 can be fit into 620 2 times, resulting in a remainder of 98.
Put 2 as the next digit of the answer. 
Result so far: 136283.68582
Deduct 522 from 620 and we're left with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

On to step 14:
980 divided by 261 is 3 with a remainder of 197.
The next digit of our result is 3. 
Result so far: 136283.685823
Deduct 783 from 980 and we're left with 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Let's proceed to step 15:
261 can be fit into 1970 7 times, resulting in a remainder of 143.
Record the quotient 7 as the next digit in the result. 
Result so far: 136283.6858237
Subtract 1827 from 1970 to get 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Let's proceed to step 16:
261 can be fit into 1430 5 times, resulting in a remainder of 125.
The number 5 becomes the next digit in our result. 
Result so far: 136283.68582375
Subtract 1305 from 1430 to get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

After the division, we end up with 136283.68582375 and a remainder of 1.25e-07.