Let's divide 514111 by 34
We want to figure out the number of times 514111 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.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 34

Going ahead to step 2:
The number 34 fits into 51 1 times, leaving a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 17 after subtracting 34 from 51.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 34

Moving on to step 3:
If we divide 174 by 34, we get 5 and a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 170 from 174 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 34

On to step 4:
34 goes into 41 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 151.0
Subtract 34 from 41 to get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 34

Going ahead to step 5:
The number 34 fits into 71 2 times, leaving a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 1512.0
If we take 68 away from 71, we end up with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 34

Going ahead to step 6:
The number 34 fits into 31 0 times, leaving a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 15120.0
If we take 0 away from 31, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
34 can be fit into 310 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 15120.9
If we subtract 306 from 310, 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.

On to step 8:
34 goes into 40 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 15120.91
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.

Let's proceed to step 9:
34 goes into 60 1 times with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 15120.911
If we take 34 away from 60, we end up 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.

Our division results in 15120.911 with a remaining 0.0026.