813959 ÷ 19 
We're looking to find how many times 19 goes into 813959.

Let's proceed to step 1:
If we divide 8 by 19, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 19

Going ahead to step 2:
When dividing 81 by 19, we get 4 with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 76 away from 81, we end up with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 19

Let's proceed to step 3:
19 goes into 53 2 times with a remainder of 15.
The next digit of our result is 2. 
Result so far: 42.0
If we take 38 away from 53, we end up with 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 19

Step 4:
19 can be fit into 159 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 428.0
Deduct 152 from 159 and we're left with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 19

Moving on to step 5:
19 goes into 75 3 times with a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 4283.0
Deduct 57 from 75 and we're left with 18.
Append the next digit (9) from the dividend to 18 and continue with: 189 / 19

Step 6:
If we divide 189 by 19, we get 9 and a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 42839.0
Subtracting 171 from 189 leaves us 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:
19 goes into 180 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 42839.9
Subtract 171 from 180 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 42839.94
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.

Advancing to step 9:
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: 42839.947
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.

Let's proceed to step 10:
The number 19 fits into 70 3 times, leaving a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 42839.9473
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.

Advancing to step 11:
19 can be fit into 130 6 times, resulting in a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 42839.94736
If we take 114 away from 130, we end up 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.

Step 12:
160 divided by 19 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 42839.947368
The remainder is 8 after subtracting 152 from 160.
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.
Record the quotient 4 as the next digit in the result. 
Result so far: 42839.9473684
If we take 76 away from 80, we end up 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 14:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 42839.94736842
Deduct 38 from 40 and we're left with 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 42839.94736842 with a balance of 2e-09.