103354 ÷ 75 
Our goal is to divide 103354 by 75.

Let's proceed to step 1:
75 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 75

Advancing to step 2:
75 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 75

Moving on to step 3:
When dividing 103 by 75, we get 1 with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 28 after subtracting 75 from 103.
Take the next digit (3) from the dividend and append it to 28, then repeat: 283 / 75

On to step 4:
75 goes into 283 3 times with a remainder of 58.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 58 after subtracting 225 from 283.
Include the next digit (5) from the dividend after 58, then repeat: 585 / 75

On to step 5:
If we divide 585 by 75, we get 7 and a remainder of 60.
Write down 7 as next digit of the result. 
Result so far: 137.0
Subtracting 525 from 585 leaves us with 60.
Include the next digit (4) from the dividend after 60, then repeat: 604 / 75

Step 6:
75 can be fit into 604 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1378.0
Deduct 600 from 604 and we're left 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.

Moving on to step 7:
40 divided by 75 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 1378.0
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.

Step 8:
If we divide 400 by 75, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1378.05
Subtracting 375 from 400 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.

On to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 1378.053
Deduct 225 from 250 and we're left 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.

Moving on to step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 1378.0533
If we take 225 away from 250, we end up 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.

In conclusion, the division gives 1378.0533 with a balance of 0.00025.