268922 ÷ 75 
We want to divide 268922 by 75.

Step 1:
If we divide 2 by 75, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 75

Step 2:
75 goes into 26 0 times with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Include the next digit (8) from the dividend after 26, then repeat: 268 / 75

On to step 3:
If we divide 268 by 75, we get 3 and a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 225 from 268 and we're left with 43.
Take the next digit (9) from the dividend and append it to 43, then repeat: 439 / 75

Moving on to step 4:
75 goes into 439 5 times with a remainder of 64.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtracting 375 from 439 leaves us with 64.
Bring next digit (2) of the dividend behind the 64 and repeat the process: 642 / 75

Going ahead to step 5:
75 can be fit into 642 8 times, resulting in a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 358.0
The remainder is 42 after subtracting 600 from 642.
Include the next digit (2) from the dividend after 42, then repeat: 422 / 75

On to step 6:
75 goes into 422 5 times with a remainder of 47.
Use 5 as the next digit of our solution. 
Result so far: 3585.0
Deduct 375 from 422 and we're left 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.

On to step 7:
The number 75 fits into 470 6 times, leaving a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 3585.6
Deduct 450 from 470 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
75 goes into 200 2 times with a remainder of 50.
The number 2 becomes the next digit in our result. 
Result so far: 3585.62
Subtracting 150 from 200 leaves us 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.

Going ahead to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The next digit of our result is 6. 
Result so far: 3585.626
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 3585.6266
If we subtract 450 from 500, we 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 3585.6266 with a balance of 0.0005.