106775 ÷ 19 
We're looking to find how many times 19 goes into 106775.

Let's proceed to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 19

On to step 2:
19 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 19

Going ahead to step 3:
The number 19 fits into 106 5 times, leaving a remainder of 11.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 95 from 106 to get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 19

Going ahead to step 4:
19 can be fit into 117 6 times, resulting in a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
Subtracting 114 from 117 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 19

Going ahead to step 5:
19 can be fit into 37 1 times, resulting in a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 561.0
Subtract 19 from 37 to get 18.
Append the next digit (5) from the dividend to 18 and continue with: 185 / 19

Let's proceed to step 6:
19 can be fit into 185 9 times, resulting in a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 5619.0
Subtract 171 from 185 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
If we divide 140 by 19, we get 7 and a remainder of 7.
The next digit of our result is 7. 
Result so far: 5619.7
The remainder is 7 after subtracting 133 from 140.
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 8:
70 divided by 19 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 5619.73
Subtract 57 from 70 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.

Going ahead to step 9:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 5619.736
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
The number 19 fits into 160 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 5619.7368
If we take 152 away from 160, we end up 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.

Moving on to step 11:
If we divide 80 by 19, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 5619.73684
Deduct 76 from 80 and we're left 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.

Going ahead to step 12:
When dividing 40 by 19, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 5619.736842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 5619.7368421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5619.7368421
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 5619.7368421, with a leftover of 1e-08.