We look at the division of 368105 by 19 
We want to figure out the number of times 368105 can be divided by 19.

Step 1:
19 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 19

Moving on to step 2:
19 goes into 36 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 19 from 36, we get 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 19

Moving on to step 3:
The number 19 fits into 178 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 171 from 178, we get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 19

Let's proceed to step 4:
When dividing 71 by 19, we get 3 with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 193.0
Subtract 57 from 71 to get 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 19

Going ahead to step 5:
19 goes into 140 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 1937.0
Subtracting 133 from 140 leaves us with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 19

Moving on to step 6:
19 can be fit into 75 3 times, resulting in a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 19373.0
Deduct 57 from 75 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
The number 19 fits into 180 9 times, leaving a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 19373.9
Deduct 171 from 180 and we're left 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 8:
If we divide 90 by 19, we get 4 and a remainder of 14.
The next digit of our result is 4. 
Result so far: 19373.94
Subtracting 76 from 90 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 9:
When dividing 140 by 19, we get 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 19373.947
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.

On to step 10:
19 goes into 70 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 19373.9473
If we take 57 away from 70, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 11:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 19373.94736
Deduct 114 from 130 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.

Going ahead to step 12:
If we divide 160 by 19, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 19373.947368
Deduct 152 from 160 and we're left 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.

Let's proceed to step 13:
80 divided by 19 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 19373.9473684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
40 divided by 19 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 19373.94736842
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.

In conclusion, the division gives 19373.94736842 with a balance of 2e-09.