We look at the division of 533279 by 34 
Our goal is to divide 533279 by 34.

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
The remainder is 5 after subtracting 0 from 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 34

On to step 2:
34 goes into 53 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 34 from 53 and we're left with 19.
Take the next digit (3) from the dividend and append it to 19, then repeat: 193 / 34

Going ahead to step 3:
34 can be fit into 193 5 times, resulting in a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 15.0
Deduct 170 from 193 and we're left with 23.
Include the next digit (2) from the dividend after 23, then repeat: 232 / 34

On to step 4:
34 can be fit into 232 6 times, resulting in a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 156.0
If we take 204 away from 232, we end up with 28.
Take the next digit (7) from the dividend and append it to 28, then repeat: 287 / 34

Moving on to step 5:
34 goes into 287 8 times with a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 1568.0
The remainder is 15 after subtracting 272 from 287.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 34

On to step 6:
If we divide 159 by 34, we get 4 and a remainder of 23.
The next digit of our result is 4. 
Result so far: 15684.0
If we subtract 136 from 159, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
When dividing 230 by 34, we get 6 with a remainder of 26.
The next digit of our result is 6. 
Result so far: 15684.6
Subtracting 204 from 230 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.

Moving on to step 8:
The number 34 fits into 260 7 times, leaving a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 15684.67
If we subtract 238 from 260, we get 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:
When dividing 220 by 34, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 15684.676
If we subtract 204 from 220, we 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.

Going ahead to step 10:
The number 34 fits into 160 4 times, leaving a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 15684.6764
Deduct 136 from 160 and we're left 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 11:
If we divide 240 by 34, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 15684.67647
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.

Step 12:
20 divided by 34 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 15684.67647
If we take 0 away from 20, we end up 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.

Going ahead to step 13:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 15684.6764705
If we subtract 170 from 200, we get 30.
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:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 15684.67647058
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 15684.67647058 with a balance of 2.8e-08.