We're dividing 349027 by 75 
We want to figure out the number of times 349027 can be divided by 75.

On to step 1:
When dividing 3 by 75, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 75

Step 2:
34 divided by 75 is 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 75

Advancing to step 3:
The number 75 fits into 349 4 times, leaving a remainder of 49.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 300 from 349, we get 49.
Append the next digit (0) from the dividend to 49 and continue with: 490 / 75

Step 4:
When dividing 490 by 75, we get 6 with a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 46.0
Deduct 450 from 490 and we're left with 40.
Fetch the next digit (2) from the dividend, attach it to 40 and continue: 402 / 75

Going ahead to step 5:
402 divided by 75 is 5 with a remainder of 27.
The next digit of our result is 5. 
Result so far: 465.0
If we take 375 away from 402, we end up with 27.
Grab the next digit (7) from the dividend, add it to 27, then carry on: 277 / 75

On to step 6:
If we divide 277 by 75, we get 3 and a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 4653.0
Subtract 225 from 277 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
If we divide 520 by 75, we get 6 and a remainder of 70.
Write down 6 as next digit of the result. 
Result so far: 4653.6
If we subtract 450 from 520, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
700 divided by 75 is 9 with a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 4653.69
Subtract 675 from 700 to 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.

Advancing to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 4653.693
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.

Step 10:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 4653.6933
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 quotient of the division is 4653.6933, and the remainder is 0.00025.