We divide 105217 by 17
Our goal is to divide 105217 by 17.

Going ahead to step 1:
17 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 17

On to step 2:
10 divided by 17 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 17

Moving on to step 3:
17 goes into 105 6 times with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 3 after subtracting 102 from 105.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 17

Going ahead to step 4:
When dividing 32 by 17, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Deduct 17 from 32 and we're left with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 17

Moving on to step 5:
17 goes into 151 8 times with a remainder of 15.
The next digit of our result is 8. 
Result so far: 618.0
Deduct 136 from 151 and we're left with 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 17

Step 6:
The number 17 fits into 157 9 times, leaving a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 6189.0
If we take 153 away from 157, 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.

Advancing to step 7:
40 divided by 17 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 6189.2
If we subtract 34 from 40, we 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.

Going ahead to step 8:
When dividing 60 by 17, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 6189.23
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.

Step 9:
The number 17 fits into 90 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 6189.235
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.

Let's proceed to step 10:
17 can be fit into 50 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 6189.2352
Subtract 34 from 50 to 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 11:
160 divided by 17 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 6189.23529
Subtracting 153 from 160 leaves us 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.

Advancing to step 12:
17 goes into 70 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 6189.235294
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.

Advancing to step 13:
20 divided by 17 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 6189.2352941
Subtract 17 from 20 to 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.

Advancing to step 14:
17 can be fit into 30 1 times, resulting in a remainder of 13.
The next digit of our result is 1. 
Result so far: 6189.23529411
Subtract 17 from 30 to get 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 quotient of the division is 6189.23529411, and the remainder is 1.3e-08.