We're dividing 22333129 by 257 
We want to figure out the number of times 22333129 can be divided by 257.

Going ahead to step 1:
2 divided by 257 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 257

Step 2:
257 goes into 22 0 times with a remainder of 22.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 22 after subtracting 0 from 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 257

Let's proceed to step 3:
If we divide 223 by 257, we get 0 and a remainder of 223.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 223 after subtracting 0 from 223.
Grab the next digit (3) from the dividend, add it to 223, then carry on: 2233 / 257

On to step 4:
If we divide 2233 by 257, we get 8 and a remainder of 177.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 177 after subtracting 2056 from 2233.
Take the next digit (3) from the dividend and append it to 177, then repeat: 1773 / 257

Moving on to step 5:
When dividing 1773 by 257, we get 6 with a remainder of 231.
Put 6 as the next digit of the answer. 
Result so far: 86.0
If we subtract 1542 from 1773, we get 231.
Fetch the next digit (1) from the dividend, attach it to 231 and continue: 2311 / 257

Moving on to step 6:
257 goes into 2311 8 times with a remainder of 255.
Put 8 as the next digit of the answer. 
Result so far: 868.0
Deduct 2056 from 2311 and we're left with 255.
Take the next digit (2) from the dividend and append it to 255, then repeat: 2552 / 257

Step 7:
257 can be fit into 2552 9 times, resulting in a remainder of 239.
The next digit of our result is 9. 
Result so far: 8689.0
The remainder is 239 after subtracting 2313 from 2552.
Include the next digit (9) from the dividend after 239, then repeat: 2399 / 257

On to step 8:
When dividing 2399 by 257, we get 9 with a remainder of 86.
Put 9 as the next digit of the answer. 
Result so far: 86899.0
Subtracting 2313 from 2399 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 9:
257 can be fit into 860 3 times, resulting in a remainder of 89.
Put 3 as the next digit of the answer. 
Result so far: 86899.3
Subtracting 771 from 860 leaves us with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Let's proceed to step 10:
The number 257 fits into 890 3 times, leaving a remainder of 119.
The number 3 becomes the next digit in our result. 
Result so far: 86899.33
Deduct 771 from 890 and we're left with 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1190, and continue the process.

Our division results in 86899.33 with a remaining 0.119.