Let's divide 513571 by 34
We want to figure out the number of times 513571 can be divided by 34.

Let's proceed to step 1:
If we divide 5 by 34, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 34

On to step 2:
51 divided by 34 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 34 from 51 and we're left with 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 34

Advancing to step 3:
173 divided by 34 is 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we subtract 170 from 173, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 34

Let's proceed to step 4:
35 divided by 34 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 151.0
Subtracting 34 from 35 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 34

Let's proceed to step 5:
When dividing 17 by 34, we get 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 1510.0
If we take 0 away from 17, we end up with 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 34

Going ahead to step 6:
The number 34 fits into 171 5 times, leaving a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 15105.0
If we take 170 away from 171, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 34 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 15105.0
Deduct 0 from 10 and we're left 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.

Advancing to step 8:
When dividing 100 by 34, we get 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 15105.02
The remainder is 32 after subtracting 68 from 100.
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 9:
320 divided by 34 is 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 15105.029
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.

Going ahead to step 10:
140 divided by 34 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 15105.0294
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.

Moving on to step 11:
34 goes into 40 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 15105.02941
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.

Let's proceed to step 12:
34 can be fit into 60 1 times, resulting in a remainder of 26.
The next digit of our result is 1. 
Result so far: 15105.029411
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.

In conclusion, the division gives 15105.029411 with a balance of 2.6e-06.