516397 ÷ 34 
Let's see how many times 34 fits into 516397.

Advancing to step 1:
The number 34 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 34

Moving on to step 2:
34 goes into 51 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 34 away from 51, we end up with 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 34

Moving on to step 3:
The number 34 fits into 176 5 times, leaving a remainder of 6.
The next digit of our result is 5. 
Result so far: 15.0
If we take 170 away from 176, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 34

Let's proceed to step 4:
63 divided by 34 is 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 151.0
Subtract 34 from 63 to get 29.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 34

Moving on to step 5:
The number 34 fits into 299 8 times, leaving a remainder of 27.
Write down 8 as next digit of the result. 
Result so far: 1518.0
The remainder is 27 after subtracting 272 from 299.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 34

On to step 6:
34 goes into 277 8 times with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 15188.0
If we subtract 272 from 277, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
34 goes into 50 1 times with a remainder of 16.
The next digit of our result is 1. 
Result so far: 15188.1
Subtract 34 from 50 to 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.

Let's proceed to step 8:
The number 34 fits into 160 4 times, leaving a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 15188.14
Subtracting 136 from 160 leaves us 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.

Step 9:
The number 34 fits into 240 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 15188.147
If we subtract 238 from 240, we 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.

Going ahead to step 10:
20 divided by 34 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 15188.147
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.

Going ahead to step 11:
200 divided by 34 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 15188.14705
If we take 170 away from 200, we end up 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.

Advancing to step 12:
300 divided by 34 is 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 15188.147058
Subtracting 272 from 300 leaves us 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.

Going ahead to step 13:
34 goes into 280 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 15188.1470588
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.

The final result is 15188.1470588 with a remainder of 8e-08.