103812 ÷ 75 
We're looking to find how many times 75 goes into 103812.

Advancing to step 1:
If we divide 1 by 75, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 75

Advancing to step 2:
The number 75 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 75

On to step 3:
75 can be fit into 103 1 times, resulting in a remainder of 28.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 75 from 103, we get 28.
Grab the next digit (8) from the dividend, add it to 28, then carry on: 288 / 75

Moving on to step 4:
75 can be fit into 288 3 times, resulting in a remainder of 63.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 225 from 288, we get 63.
Grab the next digit (1) from the dividend, add it to 63, then carry on: 631 / 75

Moving on to step 5:
75 goes into 631 8 times with a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
If we subtract 600 from 631, we get 31.
Fetch the next digit (2) from the dividend, attach it to 31 and continue: 312 / 75

Step 6:
The number 75 fits into 312 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 1384.0
Subtracting 300 from 312 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
When dividing 120 by 75, we get 1 with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 1384.1
If we subtract 75 from 120, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 8:
75 can be fit into 450 6 times, resulting in a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 1384.16
Subtracting 450 from 450 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.

Let's proceed to step 9:
If we divide 0 by 75, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1384.16
Deduct 0 from 0 and we're left 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.

Going ahead to step 10:
0 divided by 75 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1384.16
Deduct 0 from 0 and we're left 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.

In conclusion, the division gives 1384.16 with a balance of 0.0.