We look at the division of 105567 by 17 
We want to divide 105567 by 17.

Let's proceed to step 1:
17 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 17

Let's proceed to step 2:
10 divided by 17 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 17

Let's proceed to step 3:
The number 17 fits into 105 6 times, leaving a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 102 from 105 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 17

Step 4:
17 goes into 35 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we take 34 away from 35, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 17

Going ahead to step 5:
If we divide 16 by 17, we get 0 and a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 620.0
The remainder is 16 after subtracting 0 from 16.
Bring next digit (7) of the dividend behind the 16 and repeat the process: 167 / 17

Going ahead to step 6:
The number 17 fits into 167 9 times, leaving a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 6209.0
Subtracting 153 from 167 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.

Going ahead to step 7:
140 divided by 17 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 6209.8
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.

Step 8:
17 can be fit into 40 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 6209.82
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
When dividing 60 by 17, we get 3 with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 6209.823
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.

Advancing to step 10:
If we divide 90 by 17, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6209.8235
The remainder is 5 after subtracting 85 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
17 can be fit into 50 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 6209.82352
Deduct 34 from 50 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
When dividing 160 by 17, we get 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 6209.823529
If we take 153 away from 160, we end up 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.

On to step 13:
17 can be fit into 70 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 6209.8235294
Deduct 68 from 70 and we're left 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 14:
The number 17 fits into 20 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 6209.82352941
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.

The final outcome is 6209.82352941, with a leftover of 3e-09.