105473 ÷ 19 
We want to figure out the number of times 105473 can be divided by 19.

Going ahead to step 1:
1 divided by 19 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 19

On to step 2:
If we divide 10 by 19, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 19

Advancing to step 3:
105 divided by 19 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 95 away from 105, we end up with 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 19

Moving on to step 4:
The number 19 fits into 104 5 times, leaving a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 55.0
Subtract 95 from 104 to get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 19

Let's proceed to step 5:
The number 19 fits into 97 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 555.0
Subtracting 95 from 97 leaves us with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 19

On to step 6:
The number 19 fits into 23 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 5551.0
The remainder is 4 after subtracting 19 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
When dividing 40 by 19, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 5551.2
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.

Going ahead to step 8:
If we divide 20 by 19, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 5551.21
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.

On to step 9:
When dividing 10 by 19, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5551.21
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
100 divided by 19 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5551.2105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
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: 5551.21052
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
120 divided by 19 is 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 5551.210526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
If we divide 60 by 19, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 5551.2105263
If we take 57 away from 60, we end up 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.

Advancing to step 14:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 5551.21052631
Subtract 19 from 30 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 5551.21052631, with a leftover of 1.1e-08.