335059 ÷ 19 
We want to figure out the number of times 335059 can be divided by 19.

On to step 1:
19 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 19

Step 2:
When dividing 33 by 19, we get 1 with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 19 from 33 and we're left with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 19

Step 3:
145 divided by 19 is 7 with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 133 away from 145, we end up with 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 19

Going ahead to step 4:
19 goes into 120 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 176.0
Subtracting 114 from 120 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 19

On to step 5:
19 can be fit into 65 3 times, resulting in a remainder of 8.
The next digit of our result is 3. 
Result so far: 1763.0
Subtract 57 from 65 to get 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 19

Let's proceed to step 6:
The number 19 fits into 89 4 times, leaving a remainder of 13.
The next digit of our result is 4. 
Result so far: 17634.0
The remainder is 13 after subtracting 76 from 89.
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 7:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 17634.6
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.

Going ahead to step 8:
If we divide 160 by 19, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 17634.68
Subtracting 152 from 160 leaves us 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.

Step 9:
When dividing 80 by 19, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 17634.684
Subtracting 76 from 80 leaves us 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.

Let's proceed to step 10:
19 goes into 40 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 17634.6842
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.

Step 11:
When dividing 20 by 19, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 17634.68421
Subtract 19 from 20 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
19 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 17634.68421
If we subtract 0 from 10, we 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.

Step 13:
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: 17634.6842105
Deduct 95 from 100 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
50 divided by 19 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 17634.68421052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 17634.68421052 with a balance of 1.2e-08.