We divide 1289 by 17
We're looking to find how many times 17 goes into 1289.

On to step 1:
When dividing 1 by 17, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 17

Moving on to step 2:
17 can be fit into 12 0 times, resulting in a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 17

Moving on to step 3:
128 divided by 17 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 9 after subtracting 119 from 128.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 17

On to step 4:
When dividing 99 by 17, we get 5 with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
Deduct 85 from 99 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 5:
When dividing 140 by 17, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 75.8
If we take 136 away from 140, we end up 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.

Going ahead to step 6:
40 divided by 17 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 75.82
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
When dividing 60 by 17, we get 3 with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 75.823
If we take 51 away from 60, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
17 can be fit into 90 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 75.8235
The remainder is 5 after subtracting 85 from 90.
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 9:
50 divided by 17 is 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 75.82352
If we subtract 34 from 50, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
The number 17 fits into 160 9 times, leaving a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 75.823529
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
17 can be fit into 70 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 75.8235294
Subtracting 68 from 70 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
17 goes into 20 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 75.82352941
If we subtract 17 from 20, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 75.82352941 and a remainder of 3e-09.