We're dividing 684229 by 89 
We're looking to find how many times 89 goes into 684229.

Going ahead to step 1:
If we divide 6 by 89, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left 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
Subtract 0 from 68 to get 68.
Grab the next digit (4) from the dividend, add it to 68, then carry on: 684 / 89

Going ahead to step 3:
If we divide 684 by 89, we get 7 and a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 623 from 684 and we're left with 61.
Grab the next digit (2) from the dividend, add it to 61, then carry on: 612 / 89

Step 4:
The number 89 fits into 612 6 times, leaving a remainder of 78.
Use 6 as the next digit of our solution. 
Result so far: 76.0
Deduct 534 from 612 and we're left with 78.
Fetch the next digit (2) from the dividend, attach it to 78 and continue: 782 / 89

Moving on to step 5:
When dividing 782 by 89, we get 8 with a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 768.0
Subtracting 712 from 782 leaves us with 70.
Include the next digit (9) from the dividend after 70, then repeat: 709 / 89

On to step 6:
The number 89 fits into 709 7 times, leaving a remainder of 86.
Record the quotient 7 as the next digit in the result. 
Result so far: 7687.0
If we take 623 away from 709, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 7:
If we divide 860 by 89, we get 9 and a remainder of 59.
Write down 9 as next digit of the result. 
Result so far: 7687.9
If we take 801 away from 860, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 8:
If we divide 590 by 89, we get 6 and a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 7687.96
If we take 534 away from 590, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 9:
If we divide 560 by 89, we get 6 and a remainder of 26.
The next digit of our result is 6. 
Result so far: 7687.966
If we subtract 534 from 560, we get 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 7687.966 with a balance of 0.0026.