Let's divide 102968 by 75
We want to divide 102968 by 75.

Going ahead to step 1:
When dividing 1 by 75, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 75

Let's proceed to step 2:
If we divide 10 by 75, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 75

Going ahead to step 3:
75 can be fit into 102 1 times, resulting in a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 75 from 102 and we're left with 27.
Append the next digit (9) from the dividend to 27 and continue with: 279 / 75

Let's proceed to step 4:
When dividing 279 by 75, we get 3 with a remainder of 54.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtracting 225 from 279 leaves us with 54.
Fetch the next digit (6) from the dividend, attach it to 54 and continue: 546 / 75

Let's proceed to step 5:
546 divided by 75 is 7 with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 137.0
If we take 525 away from 546, we end up with 21.
Bring next digit (8) of the dividend behind the 21 and repeat the process: 218 / 75

Moving on to step 6:
75 goes into 218 2 times with a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 1372.0
Subtracting 150 from 218 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 7:
The number 75 fits into 680 9 times, leaving a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 1372.9
Subtracting 675 from 680 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
75 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 1372.9
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
500 divided by 75 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 1372.906
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 1372.9066
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 1372.9066 with a balance of 0.0005.