We divide 513784 by 34
We're looking to find how many times 34 goes into 513784.

Going ahead to step 1:
34 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 34

On to step 2:
34 goes into 51 1 times with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 34 from 51, we get 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 34

Advancing to step 3:
When dividing 173 by 34, we get 5 with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 170 from 173, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 34

Step 4:
34 can be fit into 37 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 151.0
Subtract 34 from 37 to get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 34

Advancing to step 5:
The number 34 fits into 38 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1511.0
If we subtract 34 from 38, we get 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 34

Moving on to step 6:
The number 34 fits into 44 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 15111.0
If we subtract 34 from 44, 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.

Moving on to step 7:
If we divide 100 by 34, we get 2 and a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 15111.2
Deduct 68 from 100 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
320 divided by 34 is 9 with a remainder of 14.
The next digit of our result is 9. 
Result so far: 15111.29
Deduct 306 from 320 and we're left 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.

Advancing to step 9:
When dividing 140 by 34, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 15111.294
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
The number 34 fits into 40 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 15111.2941
Subtract 34 from 40 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 11:
When dividing 60 by 34, we get 1 with a remainder of 26.
The next digit of our result is 1. 
Result so far: 15111.29411
Subtract 34 from 60 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 15111.29411, and the remainder is 2.6e-05.