We look at the division of 233624 by 89 
We want to figure out the number of times 233624 can be divided by 89.

Moving on to step 1:
If we divide 2 by 89, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 89

Step 2:
23 divided by 89 is 0 with a remainder of 23.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 23 after subtracting 0 from 23.
Append the next digit (3) from the dividend to 23 and continue with: 233 / 89

Going ahead to step 3:
The number 89 fits into 233 2 times, leaving a remainder of 55.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 178 from 233 to get 55.
Bring next digit (6) of the dividend behind the 55 and repeat the process: 556 / 89

Moving on to step 4:
89 goes into 556 6 times with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 26.0
If we take 534 away from 556, we end up with 22.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 89

Let's proceed to step 5:
When dividing 222 by 89, we get 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 262.0
The remainder is 44 after subtracting 178 from 222.
Append the next digit (4) from the dividend to 44 and continue with: 444 / 89

Going ahead to step 6:
The number 89 fits into 444 4 times, leaving a remainder of 88.
The number 4 becomes the next digit in our result. 
Result so far: 2624.0
Deduct 356 from 444 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 7:
The number 89 fits into 880 9 times, leaving a remainder of 79.
The number 9 becomes the next digit in our result. 
Result so far: 2624.9
Subtracting 801 from 880 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 8:
If we divide 790 by 89, we get 8 and a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 2624.98
If we subtract 712 from 790, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 9:
The number 89 fits into 780 8 times, leaving a remainder of 68.
Use 8 as the next digit of our solution. 
Result so far: 2624.988
If we take 712 away from 780, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Our division results in 2624.988 with a remaining 0.0068.