We divide 355429 by 75
We want to figure out the number of times 355429 can be divided by 75.

Going ahead to step 1:
75 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 75

Moving on to step 2:
When dividing 35 by 75, we get 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 75

Step 3:
75 can be fit into 355 4 times, resulting in a remainder of 55.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 300 from 355 leaves us with 55.
Bring next digit (4) of the dividend behind the 55 and repeat the process: 554 / 75

Going ahead to step 4:
The number 75 fits into 554 7 times, leaving a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
Deduct 525 from 554 and we're left with 29.
Include the next digit (2) from the dividend after 29, then repeat: 292 / 75

On to step 5:
When dividing 292 by 75, we get 3 with a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 473.0
The remainder is 67 after subtracting 225 from 292.
Take the next digit (9) from the dividend and append it to 67, then repeat: 679 / 75

Going ahead to step 6:
When dividing 679 by 75, we get 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 4739.0
If we take 675 away from 679, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
75 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 4739.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
If we divide 400 by 75, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 4739.05
If we subtract 375 from 400, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 4739.053
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
The number 75 fits into 250 3 times, leaving a remainder of 25.
The next digit of our result is 3. 
Result so far: 4739.0533
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 4739.0533 with a remainder of 0.00025.