We look at the division of 205214 by 34 
We're looking to find how many times 34 goes into 205214.

Step 1:
The number 34 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 34

Let's proceed to step 2:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 34

Step 3:
When dividing 205 by 34, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 204 from 205 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 34

Step 4:
If we divide 12 by 34, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 60.0
Subtracting 0 from 12 leaves us with 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 34

Moving on to step 5:
The number 34 fits into 121 3 times, leaving a remainder of 19.
The next digit of our result is 3. 
Result so far: 603.0
Subtract 102 from 121 to get 19.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 34

Step 6:
34 goes into 194 5 times with a remainder of 24.
The number 5 becomes the next digit in our result. 
Result so far: 6035.0
The remainder is 24 after subtracting 170 from 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
240 divided by 34 is 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 6035.7
Deduct 238 from 240 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
When dividing 20 by 34, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6035.7
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.

Step 9:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 6035.705
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.

Moving on to step 10:
If we divide 300 by 34, we get 8 and a remainder of 28.
The next digit of our result is 8. 
Result so far: 6035.7058
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.

Advancing to step 11:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 6035.70588
Subtracting 272 from 280 leaves us with 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 quotient of the division is 6035.70588, and the remainder is 8e-06.