659509 divided by 34 
We're looking to find how many times 34 goes into 659509.

Step 1:
When dividing 6 by 34, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 34

Moving on to step 2:
65 divided by 34 is 1 with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 34 away from 65, we end up with 31.
Take the next digit (9) from the dividend and append it to 31, then repeat: 319 / 34

Step 3:
When dividing 319 by 34, we get 9 with a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Subtract 306 from 319 to get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 34

On to step 4:
135 divided by 34 is 3 with a remainder of 33.
The next digit of our result is 3. 
Result so far: 193.0
If we take 102 away from 135, we end up with 33.
Fetch the next digit (0) from the dividend, attach it to 33 and continue: 330 / 34

Let's proceed to step 5:
When dividing 330 by 34, we get 9 with a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 1939.0
Deduct 306 from 330 and we're left with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 34

On to step 6:
If we divide 249 by 34, we get 7 and a remainder of 11.
The next digit of our result is 7. 
Result so far: 19397.0
If we take 238 away from 249, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 34, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 19397.3
If we take 102 away from 110, we end up 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.

On to step 8:
When dividing 80 by 34, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 19397.32
If we take 68 away from 80, we end up 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.

Moving on to step 9:
34 can be fit into 120 3 times, resulting in a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 19397.323
Subtract 102 from 120 to get 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 10:
The number 34 fits into 180 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 19397.3235
If we subtract 170 from 180, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
The number 34 fits into 100 2 times, leaving a remainder of 32.
The next digit of our result is 2. 
Result so far: 19397.32352
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 12:
When dividing 320 by 34, we get 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 19397.323529
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
34 can be fit into 140 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 19397.3235294
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
When dividing 40 by 34, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 19397.32352941
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.

The quotient of the division is 19397.32352941, and the remainder is 6e-09.