We look at the division of 6426583 by 653 
The aim is to understand the frequency of 653 in 6426583.

Going ahead to step 1:
When dividing 6 by 653, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 653

On to step 2:
When dividing 64 by 653, we get 0 with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Bring next digit (2) of the dividend behind the 64 and repeat the process: 642 / 653

Step 3:
The number 653 fits into 642 0 times, leaving a remainder of 642.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 642 and we're left with 642.
Include the next digit (6) from the dividend after 642, then repeat: 6426 / 653

Step 4:
The number 653 fits into 6426 9 times, leaving a remainder of 549.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 5877 away from 6426, we end up with 549.
Grab the next digit (5) from the dividend, add it to 549, then carry on: 5495 / 653

On to step 5:
When dividing 5495 by 653, we get 8 with a remainder of 271.
Write down 8 as next digit of the result. 
Result so far: 98.0
If we subtract 5224 from 5495, we get 271.
Include the next digit (8) from the dividend after 271, then repeat: 2718 / 653

Step 6:
2718 divided by 653 is 4 with a remainder of 106.
Put 4 as the next digit of the answer. 
Result so far: 984.0
The remainder is 106 after subtracting 2612 from 2718.
Fetch the next digit (3) from the dividend, attach it to 106 and continue: 1063 / 653

Advancing to step 7:
653 can be fit into 1063 1 times, resulting in a remainder of 410.
Write down 1 as next digit of the result. 
Result so far: 9841.0
Deduct 653 from 1063 and we're left with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Advancing to step 8:
When dividing 4100 by 653, we get 6 with a remainder of 182.
The next digit of our result is 6. 
Result so far: 9841.6
The remainder is 182 after subtracting 3918 from 4100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Moving on to step 9:
If we divide 1820 by 653, we get 2 and a remainder of 514.
Use 2 as the next digit of our solution. 
Result so far: 9841.62
If we subtract 1306 from 1820, we get 514.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5140, and continue the process.

Advancing to step 10:
The number 653 fits into 5140 7 times, leaving a remainder of 569.
Record the quotient 7 as the next digit in the result. 
Result so far: 9841.627
If we subtract 4571 from 5140, we get 569.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5690, and continue the process.

Going ahead to step 11:
If we divide 5690 by 653, we get 8 and a remainder of 466.
Record the quotient 8 as the next digit in the result. 
Result so far: 9841.6278
If we subtract 5224 from 5690, we get 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Moving on to step 12:
When dividing 4660 by 653, we get 7 with a remainder of 89.
The next digit of our result is 7. 
Result so far: 9841.62787
Deduct 4571 from 4660 and we're left with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 13:
653 can be fit into 890 1 times, resulting in a remainder of 237.
Record the quotient 1 as the next digit in the result. 
Result so far: 9841.627871
Subtract 653 from 890 to get 237.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2370, and continue the process.

Advancing to step 14:
653 goes into 2370 3 times with a remainder of 411.
The next digit of our result is 3. 
Result so far: 9841.6278713
The remainder is 411 after subtracting 1959 from 2370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4110, and continue the process.

Let's proceed to step 15:
653 goes into 4110 6 times with a remainder of 192.
The number 6 becomes the next digit in our result. 
Result so far: 9841.62787136
The remainder is 192 after subtracting 3918 from 4110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

In conclusion, the division gives 9841.62787136 with a balance of 1.92e-07.