We're dividing 106819 by 17 
We want to figure out the number of times 106819 can be divided by 17.

Let's proceed to step 1:
17 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 17

Going ahead to step 2:
The number 17 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 17

On to step 3:
When dividing 106 by 17, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 102 from 106 leaves us with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 17

Step 4:
The number 17 fits into 48 2 times, leaving a remainder of 14.
The next digit of our result is 2. 
Result so far: 62.0
Subtract 34 from 48 to get 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 17

Advancing to step 5:
The number 17 fits into 141 8 times, leaving a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 628.0
If we subtract 136 from 141, we get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 17

Advancing to step 6:
59 divided by 17 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 6283.0
Subtracting 51 from 59 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
17 goes into 80 4 times with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 6283.4
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.

Moving on to step 8:
The number 17 fits into 120 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 6283.47
If we subtract 119 from 120, we get 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 9:
When dividing 10 by 17, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 6283.47
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.

Moving on to step 10:
17 goes into 100 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 6283.4705
Subtract 85 from 100 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 11:
If we divide 150 by 17, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 6283.47058
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.

Let's proceed to step 12:
If we divide 140 by 17, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 6283.470588
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 6283.470588, with a leftover of 4e-07.