Let's divide 5905884 by 689
The aim is to understand the frequency of 689 in 5905884.

Advancing to step 1:
689 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 689

Going ahead to step 2:
The number 689 fits into 59 0 times, leaving a remainder of 59.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 59 and we're left with 59.
Take the next digit (0) from the dividend and append it to 59, then repeat: 590 / 689

On to step 3:
689 goes into 590 0 times with a remainder of 590.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 590, we end up with 590.
Bring next digit (5) of the dividend behind the 590 and repeat the process: 5905 / 689

Going ahead to step 4:
689 goes into 5905 8 times with a remainder of 393.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 5512 from 5905 leaves us with 393.
Fetch the next digit (8) from the dividend, attach it to 393 and continue: 3938 / 689

Let's proceed to step 5:
If we divide 3938 by 689, we get 5 and a remainder of 493.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtracting 3445 from 3938 leaves us with 493.
Grab the next digit (8) from the dividend, add it to 493, then carry on: 4938 / 689

Advancing to step 6:
When dividing 4938 by 689, we get 7 with a remainder of 115.
Use 7 as the next digit of our solution. 
Result so far: 857.0
If we take 4823 away from 4938, we end up with 115.
Include the next digit (4) from the dividend after 115, then repeat: 1154 / 689

Moving on to step 7:
1154 divided by 689 is 1 with a remainder of 465.
Write down 1 as next digit of the result. 
Result so far: 8571.0
The remainder is 465 after subtracting 689 from 1154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4650, and continue the process.

On to step 8:
If we divide 4650 by 689, we get 6 and a remainder of 516.
Use 6 as the next digit of our solution. 
Result so far: 8571.6
Subtract 4134 from 4650 to get 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

On to step 9:
689 can be fit into 5160 7 times, resulting in a remainder of 337.
Use 7 as the next digit of our solution. 
Result so far: 8571.67
If we subtract 4823 from 5160, we get 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3370, and continue the process.

Let's proceed to step 10:
689 goes into 3370 4 times with a remainder of 614.
The number 4 becomes the next digit in our result. 
Result so far: 8571.674
If we take 2756 away from 3370, we end up with 614.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6140, and continue the process.

On to step 11:
The number 689 fits into 6140 8 times, leaving a remainder of 628.
The number 8 becomes the next digit in our result. 
Result so far: 8571.6748
The remainder is 628 after subtracting 5512 from 6140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6280, and continue the process.

Let's proceed to step 12:
The number 689 fits into 6280 9 times, leaving a remainder of 79.
Use 9 as the next digit of our solution. 
Result so far: 8571.67489
Subtracting 6201 from 6280 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 13:
790 divided by 689 is 1 with a remainder of 101.
The next digit of our result is 1. 
Result so far: 8571.674891
If we subtract 689 from 790, we get 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Let's proceed to step 14:
When dividing 1010 by 689, we get 1 with a remainder of 321.
Put 1 as the next digit of the answer. 
Result so far: 8571.6748911
If we take 689 away from 1010, we end up with 321.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3210, and continue the process.

In conclusion, the division gives 8571.6748911 with a balance of 3.21e-06.