105650 ÷ 17 
We want to figure out the number of times 105650 can be divided by 17.

On to step 1:
The number 17 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 17

On to step 2:
The number 17 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 17

On to step 3:
If we divide 105 by 17, we get 6 and a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 102 from 105 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 17

Let's proceed to step 4:
If we divide 36 by 17, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
If we take 34 away from 36, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 17

Step 5:
The number 17 fits into 25 1 times, leaving a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 621.0
Subtracting 17 from 25 leaves us with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 17

On to step 6:
If we divide 80 by 17, we get 4 and a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 6214.0
Subtract 68 from 80 to 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.

Step 7:
17 goes into 120 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 6214.7
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.

Moving on to step 8:
17 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6214.7
If we subtract 0 from 10, we 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.

Step 9:
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: 6214.705
Deduct 85 from 100 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 10:
The number 17 fits into 150 8 times, leaving a remainder of 14.
The next digit of our result is 8. 
Result so far: 6214.7058
Subtracting 136 from 150 leaves us 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.

Advancing to step 11:
When dividing 140 by 17, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 6214.70588
Subtracting 136 from 140 leaves us 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.

Our division results in 6214.70588 with a remaining 4e-06.