We're dividing 10009111 by 233 
We want to figure out the number of times 10009111 can be divided by 233.

Moving on to step 1:
When dividing 1 by 233, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 233

Going ahead to step 2:
The number 233 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 233

Step 3:
When dividing 100 by 233, we get 0 with a remainder of 100.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 100 leaves us with 100.
Take the next digit (0) from the dividend and append it to 100, then repeat: 1000 / 233

Let's proceed to step 4:
233 goes into 1000 4 times with a remainder of 68.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 932 from 1000 leaves us with 68.
Grab the next digit (9) from the dividend, add it to 68, then carry on: 689 / 233

Moving on to step 5:
If we divide 689 by 233, we get 2 and a remainder of 223.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 466 from 689 and we're left with 223.
Bring next digit (1) of the dividend behind the 223 and repeat the process: 2231 / 233

Advancing to step 6:
2231 divided by 233 is 9 with a remainder of 134.
The next digit of our result is 9. 
Result so far: 429.0
Deduct 2097 from 2231 and we're left with 134.
Grab the next digit (1) from the dividend, add it to 134, then carry on: 1341 / 233

Moving on to step 7:
When dividing 1341 by 233, we get 5 with a remainder of 176.
The next digit of our result is 5. 
Result so far: 4295.0
Subtract 1165 from 1341 to get 176.
Take the next digit (1) from the dividend and append it to 176, then repeat: 1761 / 233

On to step 8:
If we divide 1761 by 233, we get 7 and a remainder of 130.
The number 7 becomes the next digit in our result. 
Result so far: 42957.0
Subtracting 1631 from 1761 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Going ahead to step 9:
When dividing 1300 by 233, we get 5 with a remainder of 135.
Record the quotient 5 as the next digit in the result. 
Result so far: 42957.5
Deduct 1165 from 1300 and we're left with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Going ahead to step 10:
The number 233 fits into 1350 5 times, leaving a remainder of 185.
Write down 5 as next digit of the result. 
Result so far: 42957.55
Subtract 1165 from 1350 to get 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

The quotient of the division is 42957.55, and the remainder is 0.185.