We're dividing 581673 by 97 
We're looking to find how many times 97 goes into 581673.

Let's proceed to step 1:
If we divide 5 by 97, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 97

On to step 2:
If we divide 58 by 97, we get 0 and a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Grab the next digit (1) from the dividend, add it to 58, then carry on: 581 / 97

Advancing to step 3:
97 can be fit into 581 5 times, resulting in a remainder of 96.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 485 from 581 and we're left with 96.
Fetch the next digit (6) from the dividend, attach it to 96 and continue: 966 / 97

On to step 4:
The number 97 fits into 966 9 times, leaving a remainder of 93.
Use 9 as the next digit of our solution. 
Result so far: 59.0
Deduct 873 from 966 and we're left with 93.
Include the next digit (7) from the dividend after 93, then repeat: 937 / 97

Going ahead to step 5:
If we divide 937 by 97, we get 9 and a remainder of 64.
The number 9 becomes the next digit in our result. 
Result so far: 599.0
Subtracting 873 from 937 leaves us with 64.
Fetch the next digit (3) from the dividend, attach it to 64 and continue: 643 / 97

Step 6:
643 divided by 97 is 6 with a remainder of 61.
The next digit of our result is 6. 
Result so far: 5996.0
Subtract 582 from 643 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 7:
When dividing 610 by 97, we get 6 with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 5996.6
Subtract 582 from 610 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.

Moving on to step 8:
When dividing 280 by 97, we get 2 with a remainder of 86.
Use 2 as the next digit of our solution. 
Result so far: 5996.62
The remainder is 86 after subtracting 194 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 9:
97 can be fit into 860 8 times, resulting in a remainder of 84.
The number 8 becomes the next digit in our result. 
Result so far: 5996.628
If we subtract 776 from 860, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 10:
97 goes into 840 8 times with a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 5996.6288
Subtracting 776 from 840 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 5996.6288 with a balance of 0.00064.