16935 divided by 17 
We're looking to find how many times 17 goes into 16935.

Let's proceed to step 1:
1 divided by 17 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 17

On to step 2:
The number 17 fits into 16 0 times, leaving a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 16 to get 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 17

Let's proceed to step 3:
The number 17 fits into 169 9 times, leaving a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 16 after subtracting 153 from 169.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 17

On to step 4:
If we divide 163 by 17, we get 9 and a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 99.0
The remainder is 10 after subtracting 153 from 163.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 17

On to step 5:
105 divided by 17 is 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 996.0
If we take 102 away from 105, we end up 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.

Moving on to step 6:
17 goes into 30 1 times with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 996.1
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.

Advancing to step 7:
When dividing 130 by 17, we get 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 996.17
If we take 119 away from 130, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
The number 17 fits into 110 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 996.176
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 17 fits into 80 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 996.1764
If we subtract 68 from 80, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
If we divide 120 by 17, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 996.17647
If we take 119 away from 120, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 996.17647
Subtract 0 from 10 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 12:
100 divided by 17 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 996.1764705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
17 can be fit into 150 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 996.17647058
The remainder is 14 after subtracting 136 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 996.17647058, and the remainder is 1.4e-08.