We look at the division of 289124 by 75 
Our goal is to divide 289124 by 75.

Let's proceed to step 1:
2 divided by 75 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 75

On to step 2:
75 goes into 28 0 times with a remainder of 28.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 28 and we're left with 28.
Include the next digit (9) from the dividend after 28, then repeat: 289 / 75

Going ahead to step 3:
The number 75 fits into 289 3 times, leaving a remainder of 64.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 225 from 289 to get 64.
Fetch the next digit (1) from the dividend, attach it to 64 and continue: 641 / 75

Moving on to step 4:
75 goes into 641 8 times with a remainder of 41.
Put 8 as the next digit of the answer. 
Result so far: 38.0
If we take 600 away from 641, we end up with 41.
Append the next digit (2) from the dividend to 41 and continue with: 412 / 75

Let's proceed to step 5:
412 divided by 75 is 5 with a remainder of 37.
The next digit of our result is 5. 
Result so far: 385.0
If we take 375 away from 412, we end up with 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 75

Going ahead to step 6:
374 divided by 75 is 4 with a remainder of 74.
Record the quotient 4 as the next digit in the result. 
Result so far: 3854.0
If we subtract 300 from 374, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 7:
If we divide 740 by 75, we get 9 and a remainder of 65.
The next digit of our result is 9. 
Result so far: 3854.9
Subtracting 675 from 740 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 8:
75 can be fit into 650 8 times, resulting in a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 3854.98
Deduct 600 from 650 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
75 goes into 500 6 times with a remainder of 50.
The next digit of our result is 6. 
Result so far: 3854.986
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 3854.9866
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 3854.9866 with a balance of 0.0005.