Let's divide 213709 by 17
We want to figure out the number of times 213709 can be divided by 17.

Advancing to step 1:
17 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 17

Advancing to step 2:
17 can be fit into 21 1 times, resulting in a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 4 after subtracting 17 from 21.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 17

On to step 3:
If we divide 43 by 17, we get 2 and a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 34 from 43 and we're left with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 17

Advancing to step 4:
97 divided by 17 is 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 125.0
The remainder is 12 after subtracting 85 from 97.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 17

Moving on to step 5:
The number 17 fits into 120 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 1257.0
If we subtract 119 from 120, we get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 17

Going ahead to step 6:
17 goes into 19 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 12571.0
If we take 17 away from 19, we end up 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.

Going ahead to step 7:
17 can be fit into 20 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 12571.1
Deduct 17 from 20 and we're left 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.

On to step 8:
When dividing 30 by 17, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 12571.11
Subtracting 17 from 30 leaves us 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.

After the division, we end up with 12571.11 and a remainder of 0.013.