Let's divide 565738 by 34
We're looking to find how many times 34 goes into 565738.

On to step 1:
5 divided by 34 is 0 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.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 34

On to step 2:
The number 34 fits into 56 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 34 from 56, we get 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 34

On to step 3:
225 divided by 34 is 6 with a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 204 from 225 and we're left with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 34

Let's proceed to step 4:
When dividing 217 by 34, we get 6 with a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 166.0
Subtract 204 from 217 to get 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 34

Going ahead to step 5:
If we divide 133 by 34, we get 3 and a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 1663.0
If we take 102 away from 133, we end up with 31.
Grab the next digit (8) from the dividend, add it to 31, then carry on: 318 / 34

Let's proceed to step 6:
318 divided by 34 is 9 with a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 16639.0
Deduct 306 from 318 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
If we divide 120 by 34, we get 3 and a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 16639.3
If we take 102 away from 120, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
34 can be fit into 180 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 16639.35
Subtracting 170 from 180 leaves us 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 9:
100 divided by 34 is 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 16639.352
Subtract 68 from 100 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
When dividing 320 by 34, we get 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 16639.3529
If we subtract 306 from 320, we get 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 11:
34 goes into 140 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 16639.35294
Subtract 136 from 140 to 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 12:
40 divided by 34 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 16639.352941
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.

On to step 13:
34 can be fit into 60 1 times, resulting in a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 16639.3529411
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.

After the division, we end up with 16639.3529411 and a remainder of 2.6e-07.