219597 divided by 34 
We're looking to find how many times 34 goes into 219597.

Going ahead to step 1:
If we divide 2 by 34, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 34

Let's proceed to step 2:
21 divided by 34 is 0 with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 34

Moving on to step 3:
If we divide 219 by 34, we get 6 and a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 15 after subtracting 204 from 219.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 34

Step 4:
When dividing 155 by 34, we get 4 with a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 64.0
If we subtract 136 from 155, we get 19.
Grab the next digit (9) from the dividend, add it to 19, then carry on: 199 / 34

Step 5:
If we divide 199 by 34, we get 5 and a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 645.0
Deduct 170 from 199 and we're left with 29.
Append the next digit (7) from the dividend to 29 and continue with: 297 / 34

Advancing to step 6:
The number 34 fits into 297 8 times, leaving a remainder of 25.
Write down 8 as next digit of the result. 
Result so far: 6458.0
The remainder is 25 after subtracting 272 from 297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
When dividing 250 by 34, we get 7 with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 6458.7
The remainder is 12 after subtracting 238 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
The number 34 fits into 120 3 times, leaving a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 6458.73
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.

On to step 9:
If we divide 180 by 34, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6458.735
The remainder is 10 after subtracting 170 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
34 can be fit into 100 2 times, resulting in a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 6458.7352
Subtracting 68 from 100 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
34 can be fit into 320 9 times, resulting in a remainder of 14.
The next digit of our result is 9. 
Result so far: 6458.73529
Subtracting 306 from 320 leaves us 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.

Moving on to step 12:
The number 34 fits into 140 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 6458.735294
The remainder is 4 after subtracting 136 from 140.
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 13:
34 goes into 40 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 6458.7352941
Deduct 34 from 40 and we're left 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.

Moving on to step 14:
60 divided by 34 is 1 with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 6458.73529411
Deduct 34 from 60 and we're left 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.

In conclusion, the division gives 6458.73529411 with a balance of 2.6e-08.