We look at the division of 289882 by 65 
We want to figure out the number of times 289882 can be divided by 65.

Advancing to step 1:
65 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 65

Advancing to step 2:
If we divide 28 by 65, we get 0 and a remainder of 28.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 28, we get 28.
Append the next digit (9) from the dividend to 28 and continue with: 289 / 65

Let's proceed to step 3:
65 can be fit into 289 4 times, resulting in a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 260 from 289 to get 29.
Grab the next digit (8) from the dividend, add it to 29, then carry on: 298 / 65

On to step 4:
The number 65 fits into 298 4 times, leaving a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
Deduct 260 from 298 and we're left with 38.
Grab the next digit (8) from the dividend, add it to 38, then carry on: 388 / 65

Let's proceed to step 5:
The number 65 fits into 388 5 times, leaving a remainder of 63.
Record the quotient 5 as the next digit in the result. 
Result so far: 445.0
If we subtract 325 from 388, we get 63.
Grab the next digit (2) from the dividend, add it to 63, then carry on: 632 / 65

Step 6:
If we divide 632 by 65, we get 9 and a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 4459.0
Subtracting 585 from 632 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
When dividing 470 by 65, we get 7 with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 4459.7
If we subtract 455 from 470, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
When dividing 150 by 65, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 4459.72
If we subtract 130 from 150, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
65 can be fit into 200 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 4459.723
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
65 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 4459.723
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
65 goes into 500 7 times with a remainder of 45.
The next digit of our result is 7. 
Result so far: 4459.72307
Subtracting 455 from 500 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 12:
The number 65 fits into 450 6 times, leaving a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 4459.723076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
When dividing 600 by 65, we get 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 4459.7230769
If we take 585 away from 600, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 14:
When dividing 150 by 65, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 4459.72307692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 4459.72307692, with a leftover of 2e-08.