We're dividing 103435 by 75 
We want to divide 103435 by 75.

Step 1:
If we divide 1 by 75, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 75

Let's proceed to step 2:
The number 75 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 75

Moving on to step 3:
75 goes into 103 1 times with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 75 away from 103, we end up with 28.
Include the next digit (4) from the dividend after 28, then repeat: 284 / 75

Let's proceed to step 4:
75 goes into 284 3 times with a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 59 after subtracting 225 from 284.
Fetch the next digit (3) from the dividend, attach it to 59 and continue: 593 / 75

On to step 5:
The number 75 fits into 593 7 times, leaving a remainder of 68.
The next digit of our result is 7. 
Result so far: 137.0
Subtracting 525 from 593 leaves us with 68.
Include the next digit (5) from the dividend after 68, then repeat: 685 / 75

Step 6:
685 divided by 75 is 9 with a remainder of 10.
The next digit of our result is 9. 
Result so far: 1379.0
If we subtract 675 from 685, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
The number 75 fits into 100 1 times, leaving a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1379.1
The remainder is 25 after subtracting 75 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
75 goes into 250 3 times with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 1379.13
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 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 1379.133
Subtract 225 from 250 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.

The quotient of the division is 1379.133, and the remainder is 0.0025.