Let's divide 514766 by 34
Our goal is to divide 514766 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
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 34

On to step 2:
The number 34 fits into 51 1 times, leaving a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 34 from 51 and we're left with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 34

Going ahead to step 3:
174 divided by 34 is 5 with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 170 from 174 leaves us with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 34

On to step 4:
34 goes into 47 1 times with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 151.0
Subtract 34 from 47 to get 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 34

Going ahead to step 5:
If we divide 136 by 34, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 1514.0
If we take 136 away from 136, we end up with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 34

Going ahead to step 6:
34 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 15140.0
The remainder is 6 after subtracting 0 from 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 7:
When dividing 60 by 34, we get 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 15140.1
If we subtract 34 from 60, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
34 goes into 260 7 times with a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 15140.17
Deduct 238 from 260 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
The number 34 fits into 220 6 times, leaving a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 15140.176
Deduct 204 from 220 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
34 goes into 160 4 times with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 15140.1764
If we subtract 136 from 160, we get 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 11:
The number 34 fits into 240 7 times, leaving a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 15140.17647
The remainder is 2 after subtracting 238 from 240.
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 12:
34 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 15140.17647
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
When dividing 200 by 34, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 15140.1764705
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 14:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 15140.17647058
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.

The final result is 15140.17647058 with a remainder of 2.8e-08.