We're dividing 105754 by 75 
Our goal is to divide 105754 by 75.

Going ahead to step 1:
75 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 75

On to step 2:
If we divide 10 by 75, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 75

Moving on to step 3:
105 divided by 75 is 1 with a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 30 after subtracting 75 from 105.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 75

Let's proceed to step 4:
The number 75 fits into 307 4 times, leaving a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 14.0
The remainder is 7 after subtracting 300 from 307.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 75

Advancing to step 5:
75 divided by 75 is 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 141.0
Subtract 75 from 75 to get 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 75

Let's proceed to step 6:
4 divided by 75 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 1410.0
Subtract 0 from 4 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
If we divide 40 by 75, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 1410.0
If we take 0 away from 40, we end up with 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:
75 can be fit into 400 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 1410.05
The remainder is 25 after subtracting 375 from 400.
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.
Use 3 as the next digit of our solution. 
Result so far: 1410.053
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:
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: 1410.0533
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.

Our division results in 1410.0533 with a remaining 0.00025.