We look at the division of 82325 by 34 
We want to divide 82325 by 34.

Going ahead 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
Subtract 0 from 8 to get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 34

Advancing to step 2:
82 divided by 34 is 2 with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 68 from 82 and we're left with 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 34

On to step 3:
When dividing 143 by 34, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 24.0
Subtract 136 from 143 to get 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 34

Let's proceed to step 4:
If we divide 72 by 34, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 242.0
Deduct 68 from 72 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 34

Going ahead to step 5:
34 goes into 45 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 2421.0
If we take 34 away from 45, 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.

Let's proceed to step 6:
When dividing 110 by 34, we get 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 2421.3
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 7:
The number 34 fits into 80 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 2421.32
If we subtract 68 from 80, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
34 goes into 120 3 times with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 2421.323
The remainder is 18 after subtracting 102 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
The number 34 fits into 180 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 2421.3235
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.

Moving on to step 10:
The number 34 fits into 100 2 times, leaving a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 2421.32352
If we subtract 68 from 100, we 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.

Step 11:
320 divided by 34 is 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 2421.323529
Subtract 306 from 320 to 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 12:
If we divide 140 by 34, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 2421.3235294
If we take 136 away from 140, we end up 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.

Going ahead 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: 2421.32352941
The remainder is 6 after subtracting 34 from 40.
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 2421.32352941, and the remainder is 6e-09.