Let's divide 128 by 17
We want to divide 128 by 17.

Advancing to step 1:
The number 17 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 17

Going ahead to step 2:
12 divided by 17 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 17

Moving on to step 3:
When dividing 128 by 17, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 9 after subtracting 119 from 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 4:
90 divided by 17 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7.5
Subtract 85 from 90 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 5:
17 can be fit into 50 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 7.52
The remainder is 16 after subtracting 34 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 6:
17 can be fit into 160 9 times, resulting in a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 7.529
Deduct 153 from 160 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
If we divide 70 by 17, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 7.5294
The remainder is 2 after subtracting 68 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
If we divide 20 by 17, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 7.52941
Subtracting 17 from 20 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
17 can be fit into 30 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 7.529411
Deduct 17 from 30 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 7.529411 with a remainder of 1.3e-06.