269606 divided by 75 
Our goal is to divide 269606 by 75.

On to step 1:
If we divide 2 by 75, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 75

Going ahead to step 2:
75 can be fit into 26 0 times, resulting in a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 26 to get 26.
Include the next digit (9) from the dividend after 26, then repeat: 269 / 75

Let's proceed to step 3:
269 divided by 75 is 3 with a remainder of 44.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 225 from 269, we get 44.
Bring next digit (6) of the dividend behind the 44 and repeat the process: 446 / 75

On to step 4:
The number 75 fits into 446 5 times, leaving a remainder of 71.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtract 375 from 446 to get 71.
Bring next digit (0) of the dividend behind the 71 and repeat the process: 710 / 75

On to step 5:
If we divide 710 by 75, we get 9 and a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 359.0
If we take 675 away from 710, we end up with 35.
Append the next digit (6) from the dividend to 35 and continue with: 356 / 75

Advancing to step 6:
75 can be fit into 356 4 times, resulting in a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 3594.0
If we subtract 300 from 356, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
75 goes into 560 7 times with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 3594.7
Subtracting 525 from 560 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
The number 75 fits into 350 4 times, leaving a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 3594.74
The remainder is 50 after subtracting 300 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 3594.746
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.

Let's proceed to step 10:
75 goes into 500 6 times with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 3594.7466
Deduct 450 from 500 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.

In conclusion, the division gives 3594.7466 with a balance of 0.0005.