We divide 682984 by 89
We're looking to find how many times 89 goes into 682984.

Moving on to step 1:
89 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 89

On to step 2:
89 goes into 68 0 times with a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Fetch the next digit (2) from the dividend, attach it to 68 and continue: 682 / 89

Advancing to step 3:
89 goes into 682 7 times with a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 623 from 682 and we're left with 59.
Include the next digit (9) from the dividend after 59, then repeat: 599 / 89

Moving on to step 4:
89 goes into 599 6 times with a remainder of 65.
Use 6 as the next digit of our solution. 
Result so far: 76.0
Subtract 534 from 599 to get 65.
Grab the next digit (8) from the dividend, add it to 65, then carry on: 658 / 89

Going ahead to step 5:
89 can be fit into 658 7 times, resulting in a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 767.0
Subtracting 623 from 658 leaves us with 35.
Append the next digit (4) from the dividend to 35 and continue with: 354 / 89

Let's proceed to step 6:
89 can be fit into 354 3 times, resulting in a remainder of 87.
Write down 3 as next digit of the result. 
Result so far: 7673.0
If we subtract 267 from 354, we get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

On to step 7:
89 can be fit into 870 9 times, resulting in a remainder of 69.
Write down 9 as next digit of the result. 
Result so far: 7673.9
The remainder is 69 after subtracting 801 from 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 8:
When dividing 690 by 89, we get 7 with a remainder of 67.
Use 7 as the next digit of our solution. 
Result so far: 7673.97
Deduct 623 from 690 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 9:
When dividing 670 by 89, we get 7 with a remainder of 47.
The next digit of our result is 7. 
Result so far: 7673.977
If we take 623 away from 670, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Our division results in 7673.977 with a remaining 0.0047.