We look at the division of 515298 by 34 
Our goal is to divide 515298 by 34.

Moving on to step 1:
The number 34 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 34

Going ahead to step 2:
The number 34 fits into 51 1 times, leaving a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 17 after subtracting 34 from 51.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 34

Moving on to step 3:
The number 34 fits into 175 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtract 170 from 175 to get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 34

Moving on to step 4:
When dividing 52 by 34, we get 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 151.0
The remainder is 18 after subtracting 34 from 52.
Append the next digit (9) from the dividend to 18 and continue with: 189 / 34

Moving on to step 5:
When dividing 189 by 34, we get 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 1515.0
Subtract 170 from 189 to get 19.
Grab the next digit (8) from the dividend, add it to 19, then carry on: 198 / 34

Going ahead to step 6:
34 can be fit into 198 5 times, resulting in a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 15155.0
If we take 170 away from 198, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
280 divided by 34 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 15155.8
Deduct 272 from 280 and we're left 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.

Moving on to step 8:
80 divided by 34 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 15155.82
If we subtract 68 from 80, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
The number 34 fits into 120 3 times, leaving a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 15155.823
Subtracting 102 from 120 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.

Advancing to step 10:
The number 34 fits into 180 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 15155.8235
If we take 170 away from 180, we end up with 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 11:
34 goes into 100 2 times with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 15155.82352
If we take 68 away from 100, we end up 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.

Moving on to step 12:
320 divided by 34 is 9 with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 15155.823529
If we take 306 away from 320, we end up 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.

Let's proceed to step 13:
If we divide 140 by 34, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 15155.8235294
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 14:
34 goes into 40 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 15155.82352941
If we take 34 away from 40, we end up 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.

The final result is 15155.82352941 with a remainder of 6e-09.