4709826 ÷ 689 
The aim is to understand the frequency of 689 in 4709826.

Going ahead to step 1:
The number 689 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 689

Let's proceed to step 2:
When dividing 47 by 689, we get 0 with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Bring next digit (0) of the dividend behind the 47 and repeat the process: 470 / 689

Going ahead to step 3:
If we divide 470 by 689, we get 0 and a remainder of 470.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 470, we end up with 470.
Take the next digit (9) from the dividend and append it to 470, then repeat: 4709 / 689

Going ahead to step 4:
If we divide 4709 by 689, we get 6 and a remainder of 575.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 4134 away from 4709, we end up with 575.
Include the next digit (8) from the dividend after 575, then repeat: 5758 / 689

Let's proceed to step 5:
5758 divided by 689 is 8 with a remainder of 246.
The next digit of our result is 8. 
Result so far: 68.0
Subtracting 5512 from 5758 leaves us with 246.
Include the next digit (2) from the dividend after 246, then repeat: 2462 / 689

Advancing to step 6:
If we divide 2462 by 689, we get 3 and a remainder of 395.
Use 3 as the next digit of our solution. 
Result so far: 683.0
Deduct 2067 from 2462 and we're left with 395.
Grab the next digit (6) from the dividend, add it to 395, then carry on: 3956 / 689

On to step 7:
The number 689 fits into 3956 5 times, leaving a remainder of 511.
Put 5 as the next digit of the answer. 
Result so far: 6835.0
The remainder is 511 after subtracting 3445 from 3956.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5110, and continue the process.

On to step 8:
689 goes into 5110 7 times with a remainder of 287.
The next digit of our result is 7. 
Result so far: 6835.7
The remainder is 287 after subtracting 4823 from 5110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2870, and continue the process.

Let's proceed to step 9:
If we divide 2870 by 689, we get 4 and a remainder of 114.
Record the quotient 4 as the next digit in the result. 
Result so far: 6835.74
The remainder is 114 after subtracting 2756 from 2870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Going ahead to step 10:
When dividing 1140 by 689, we get 1 with a remainder of 451.
The next digit of our result is 1. 
Result so far: 6835.741
Subtract 689 from 1140 to get 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

Moving on to step 11:
4510 divided by 689 is 6 with a remainder of 376.
Write down 6 as next digit of the result. 
Result so far: 6835.7416
Deduct 4134 from 4510 and we're left with 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Let's proceed to step 12:
When dividing 3760 by 689, we get 5 with a remainder of 315.
Record the quotient 5 as the next digit in the result. 
Result so far: 6835.74165
Subtracting 3445 from 3760 leaves us with 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Step 13:
689 goes into 3150 4 times with a remainder of 394.
Put 4 as the next digit of the answer. 
Result so far: 6835.741654
Subtract 2756 from 3150 to get 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Going ahead to step 14:
689 can be fit into 3940 5 times, resulting in a remainder of 495.
Record the quotient 5 as the next digit in the result. 
Result so far: 6835.7416545
The remainder is 495 after subtracting 3445 from 3940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Let's proceed to step 15:
If we divide 4950 by 689, we get 7 and a remainder of 127.
The number 7 becomes the next digit in our result. 
Result so far: 6835.74165457
Subtracting 4823 from 4950 leaves us with 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

The final result is 6835.74165457 with a remainder of 1.27e-07.