We divide 510364 by 34
We want to divide 510364 by 34.

Step 1:
34 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 34

Advancing to step 2:
34 goes into 51 1 times with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 34 from 51 to get 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 34

Advancing to step 3:
When dividing 170 by 34, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we subtract 170 from 170, we get 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 34

Let's proceed to step 4:
34 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 150.0
Subtract 0 from 3 to get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 34

Moving on to step 5:
36 divided by 34 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1501.0
If we subtract 34 from 36, we get 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 34

Let's proceed to step 6:
When dividing 24 by 34, we get 0 with a remainder of 24.
Use 0 as the next digit of our solution. 
Result so far: 15010.0
Deduct 0 from 24 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
240 divided by 34 is 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 15010.7
Subtract 238 from 240 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.

Advancing to step 8:
20 divided by 34 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 15010.7
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 34, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 15010.705
Subtracting 170 from 200 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 15010.7058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
280 divided by 34 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 15010.70588
Subtract 272 from 280 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 15010.70588 with a balance of 8e-06.