106145 divided by 19 
Our goal is to divide 106145 by 19.

Let's proceed to step 1:
1 divided by 19 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 19

On to step 2:
19 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 19

Step 3:
When dividing 106 by 19, we get 5 with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 95 from 106 leaves us with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 19

Moving on to step 4:
If we divide 111 by 19, we get 5 and a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
Subtract 95 from 111 to get 16.
Include the next digit (4) from the dividend after 16, then repeat: 164 / 19

Moving on to step 5:
19 can be fit into 164 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 558.0
If we subtract 152 from 164, we get 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 19

Advancing to step 6:
When dividing 125 by 19, we get 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 5586.0
If we take 114 away from 125, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 19, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5586.5
Subtract 95 from 110 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.

Let's proceed to step 8:
150 divided by 19 is 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 5586.57
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 5586.578
Deduct 152 from 170 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.

Moving on to step 10:
The number 19 fits into 180 9 times, leaving a remainder of 9.
The next digit of our result is 9. 
Result so far: 5586.5789
If we take 171 away from 180, 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.

On to step 11:
19 goes into 90 4 times with a remainder of 14.
The next digit of our result is 4. 
Result so far: 5586.57894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
19 can be fit into 140 7 times, resulting in a remainder of 7.
The next digit of our result is 7. 
Result so far: 5586.578947
Subtract 133 from 140 to get 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:
19 goes into 70 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 5586.5789473
Subtracting 57 from 70 leaves us 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.

On to step 14:
130 divided by 19 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 5586.57894736
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.

The final outcome is 5586.57894736, with a leftover of 1.6e-08.