3511979 ÷ 586 
The aim is to understand the frequency of 586 in 3511979.

Going ahead to step 1:
If we divide 3 by 586, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 586

Let's proceed to step 2:
35 divided by 586 is 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Include the next digit (1) from the dividend after 35, then repeat: 351 / 586

Advancing to step 3:
586 goes into 351 0 times with a remainder of 351.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 351 to get 351.
Include the next digit (1) from the dividend after 351, then repeat: 3511 / 586

Advancing to step 4:
586 goes into 3511 5 times with a remainder of 581.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 581 after subtracting 2930 from 3511.
Grab the next digit (9) from the dividend, add it to 581, then carry on: 5819 / 586

On to step 5:
The number 586 fits into 5819 9 times, leaving a remainder of 545.
Write down 9 as next digit of the result. 
Result so far: 59.0
Subtracting 5274 from 5819 leaves us with 545.
Take the next digit (7) from the dividend and append it to 545, then repeat: 5457 / 586

Step 6:
586 goes into 5457 9 times with a remainder of 183.
The number 9 becomes the next digit in our result. 
Result so far: 599.0
If we subtract 5274 from 5457, we get 183.
Include the next digit (9) from the dividend after 183, then repeat: 1839 / 586

Advancing to step 7:
If we divide 1839 by 586, we get 3 and a remainder of 81.
The number 3 becomes the next digit in our result. 
Result so far: 5993.0
If we subtract 1758 from 1839, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 8:
The number 586 fits into 810 1 times, leaving a remainder of 224.
Use 1 as the next digit of our solution. 
Result so far: 5993.1
If we take 586 away from 810, we end up with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

On to step 9:
586 can be fit into 2240 3 times, resulting in a remainder of 482.
The number 3 becomes the next digit in our result. 
Result so far: 5993.13
If we take 1758 away from 2240, we end up with 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Going ahead to step 10:
586 can be fit into 4820 8 times, resulting in a remainder of 132.
The next digit of our result is 8. 
Result so far: 5993.138
Subtracting 4688 from 4820 leaves us with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Advancing to step 11:
The number 586 fits into 1320 2 times, leaving a remainder of 148.
Put 2 as the next digit of the answer. 
Result so far: 5993.1382
If we take 1172 away from 1320, we end up with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Going ahead to step 12:
When dividing 1480 by 586, we get 2 with a remainder of 308.
Use 2 as the next digit of our solution. 
Result so far: 5993.13822
Subtracting 1172 from 1480 leaves us with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

After the division, we end up with 5993.13822 and a remainder of 0.000308.