We're dividing 507105 by 19 
We want to figure out the number of times 507105 can be divided by 19.

Moving on to step 1:
5 divided by 19 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 19

Advancing to step 2:
When dividing 50 by 19, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 38 from 50 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 19

Step 3:
The number 19 fits into 127 6 times, leaving a remainder of 13.
The next digit of our result is 6. 
Result so far: 26.0
If we subtract 114 from 127, we get 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 19

Moving on to step 4:
19 can be fit into 131 6 times, resulting in a remainder of 17.
The next digit of our result is 6. 
Result so far: 266.0
Subtracting 114 from 131 leaves us with 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 19

Moving on to step 5:
170 divided by 19 is 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 2668.0
Subtracting 152 from 170 leaves us with 18.
Bring next digit (5) of the dividend behind the 18 and repeat the process: 185 / 19

On to step 6:
19 goes into 185 9 times with a remainder of 14.
The next digit of our result is 9. 
Result so far: 26689.0
Subtracting 171 from 185 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 7:
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: 26689.7
Deduct 133 from 140 and we're left 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.

Let's proceed to step 8:
19 goes into 70 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 26689.73
The remainder is 13 after subtracting 57 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

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: 26689.736
If we subtract 114 from 130, we get 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 10:
When dividing 160 by 19, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 26689.7368
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
19 goes into 80 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 26689.73684
If we subtract 76 from 80, 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.

Going ahead to step 12:
19 goes into 40 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 26689.736842
The remainder is 2 after subtracting 38 from 40.
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 13:
When dividing 20 by 19, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 26689.7368421
Subtracting 19 from 20 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
19 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 26689.7368421
Subtract 0 from 10 to 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.

The final outcome is 26689.7368421, with a leftover of 1e-08.