We divide 582667 by 97
The aim is to understand the frequency of 97 in 582667.

Advancing to step 1:
97 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 97

Moving on to step 2:
When dividing 58 by 97, we get 0 with a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Take the next digit (2) from the dividend and append it to 58, then repeat: 582 / 97

Advancing to step 3:
97 can be fit into 582 6 times, resulting in a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 582 from 582 leaves us with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 97

Moving on to step 4:
97 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 60.0
Subtract 0 from 6 to get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 97

Step 5:
97 goes into 66 0 times with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 600.0
If we subtract 0 from 66, we get 66.
Grab the next digit (7) from the dividend, add it to 66, then carry on: 667 / 97

Let's proceed to step 6:
If we divide 667 by 97, we get 6 and a remainder of 85.
The next digit of our result is 6. 
Result so far: 6006.0
Deduct 582 from 667 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Advancing to step 7:
850 divided by 97 is 8 with a remainder of 74.
Write down 8 as next digit of the result. 
Result so far: 6006.8
Deduct 776 from 850 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 8:
740 divided by 97 is 7 with a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 6006.87
The remainder is 61 after subtracting 679 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 9:
The number 97 fits into 610 6 times, leaving a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 6006.876
If we take 582 away from 610, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
97 goes into 280 2 times with a remainder of 86.
Record the quotient 2 as the next digit in the result. 
Result so far: 6006.8762
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.

Advancing to step 11:
If we divide 860 by 97, we get 8 and a remainder of 84.
Put 8 as the next digit of the answer. 
Result so far: 6006.87628
Deduct 776 from 860 and we're left with 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 12:
The number 97 fits into 840 8 times, leaving a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 6006.876288
Deduct 776 from 840 and we're left 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.

The quotient of the division is 6006.876288, and the remainder is 6.4e-06.