89682 divided by 34 
Our goal is to divide 89682 by 34.

Moving on to step 1:
8 divided by 34 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 34

Advancing to step 2:
When dividing 89 by 34, we get 2 with a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 68 from 89 and we're left with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 34

Step 3:
216 divided by 34 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 26.0
If we subtract 204 from 216, we get 12.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 34

Moving on to step 4:
When dividing 128 by 34, we get 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 263.0
If we subtract 102 from 128, we get 26.
Append the next digit (2) from the dividend to 26 and continue with: 262 / 34

Moving on to step 5:
34 can be fit into 262 7 times, resulting in a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 2637.0
Deduct 238 from 262 and we're left 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.

Let's proceed to step 6:
34 goes into 240 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 2637.7
Deduct 238 from 240 and we're left with 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 7:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 2637.7
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
34 goes into 200 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 2637.705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
300 divided by 34 is 8 with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 2637.7058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 10:
34 goes into 280 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 2637.70588
Subtracting 272 from 280 leaves us 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.

The quotient of the division is 2637.70588, and the remainder is 8e-06.