82097 divided by 34 
We're looking to find how many times 34 goes into 82097.

Let's proceed to step 1:
8 divided by 34 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 34

Step 2:
82 divided by 34 is 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 68 from 82 to get 14.
Grab the next digit (0) from the dividend, add it to 14, then carry on: 140 / 34

On to step 3:
140 divided by 34 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
Subtract 136 from 140 to get 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 34

Step 4:
34 can be fit into 49 1 times, resulting in a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 241.0
The remainder is 15 after subtracting 34 from 49.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 34

On to step 5:
When dividing 157 by 34, we get 4 with a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 2414.0
Deduct 136 from 157 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 6:
If we divide 210 by 34, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 2414.6
Subtract 204 from 210 to get 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 7:
When dividing 60 by 34, we get 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 2414.61
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.

Moving on to step 8:
34 can be fit into 260 7 times, resulting in a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 2414.617
If we take 238 away from 260, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
When dividing 220 by 34, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 2414.6176
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
When dividing 160 by 34, we get 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 2414.61764
Subtracting 136 from 160 leaves us 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.

Moving on to step 11:
240 divided by 34 is 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 2414.617647
If we subtract 238 from 240, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
34 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 2414.617647
Subtracting 0 from 20 leaves us 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.

Let's proceed to step 13:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 2414.61764705
Subtracting 170 from 200 leaves us 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.

The final result is 2414.61764705 with a remainder of 3e-08.