We look at the division of 7981 by 75 
We want to divide 7981 by 75.

Going ahead to step 1:
The number 75 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 75

On to step 2:
When dividing 79 by 75, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 75 from 79 leaves us with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 75

Step 3:
If we divide 48 by 75, we get 0 and a remainder of 48.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 48, we get 48.
Fetch the next digit (1) from the dividend, attach it to 48 and continue: 481 / 75

Let's proceed to step 4:
When dividing 481 by 75, we get 6 with a remainder of 31.
The next digit of our result is 6. 
Result so far: 106.0
If we subtract 450 from 481, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 5:
When dividing 310 by 75, we get 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 106.4
Subtract 300 from 310 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 6:
100 divided by 75 is 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 106.41
Deduct 75 from 100 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.

Advancing to step 7:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 106.413
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.

On to step 8:
The number 75 fits into 250 3 times, leaving a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 106.4133
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.

After the division, we end up with 106.4133 and a remainder of 0.00025.