509874 divided by 34 
We're looking to find how many times 34 goes into 509874.

Step 1:
5 divided by 34 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 34

Going ahead to step 2:
50 divided by 34 is 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 34 away from 50, we end up with 16.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 34

On to step 3:
34 goes into 169 4 times with a remainder of 33.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we take 136 away from 169, we end up with 33.
Fetch the next digit (8) from the dividend, attach it to 33 and continue: 338 / 34

Going ahead to step 4:
The number 34 fits into 338 9 times, leaving a remainder of 32.
Use 9 as the next digit of our solution. 
Result so far: 149.0
Subtracting 306 from 338 leaves us with 32.
Bring next digit (7) of the dividend behind the 32 and repeat the process: 327 / 34

Going ahead to step 5:
The number 34 fits into 327 9 times, leaving a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 1499.0
If we subtract 306 from 327, we get 21.
Include the next digit (4) from the dividend after 21, then repeat: 214 / 34

Let's proceed to step 6:
34 goes into 214 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 14996.0
If we subtract 204 from 214, 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.

Let's proceed to step 7:
100 divided by 34 is 2 with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 14996.2
Subtracting 68 from 100 leaves us 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.

Advancing to step 8:
320 divided by 34 is 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 14996.29
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
140 divided by 34 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 14996.294
If we subtract 136 from 140, 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 10:
When dividing 40 by 34, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 14996.2941
Subtracting 34 from 40 leaves us with 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:
60 divided by 34 is 1 with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 14996.29411
Subtracting 34 from 60 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 14996.29411 and a remainder of 2.6e-05.