105903 divided by 75 
Our goal is to divide 105903 by 75.

On to step 1:
1 divided by 75 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 75

Step 2:
10 divided by 75 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 75

Let's proceed to step 3:
If we divide 105 by 75, we get 1 and a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 75 from 105 leaves us with 30.
Take the next digit (9) from the dividend and append it to 30, then repeat: 309 / 75

Let's proceed to step 4:
75 goes into 309 4 times with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we take 300 away from 309, we end up with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 75

Advancing to step 5:
The number 75 fits into 90 1 times, leaving a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 141.0
The remainder is 15 after subtracting 75 from 90.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 75

Step 6:
When dividing 153 by 75, we get 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 1412.0
Subtracting 150 from 153 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
If we divide 30 by 75, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1412.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
75 can be fit into 300 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 1412.04
If we take 300 away from 300, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1412.04
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
0 divided by 75 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1412.04
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 1412.04 with a balance of 0.0.