We're dividing 1125668 by 653 
The aim is to understand the frequency of 653 in 1125668.

On to step 1:
When dividing 1 by 653, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 653

Going ahead to step 2:
653 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 653

Going ahead to step 3:
If we divide 112 by 653, we get 0 and a remainder of 112.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 112, we end up with 112.
Bring next digit (5) of the dividend behind the 112 and repeat the process: 1125 / 653

Moving on to step 4:
653 can be fit into 1125 1 times, resulting in a remainder of 472.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 472 after subtracting 653 from 1125.
Append the next digit (6) from the dividend to 472 and continue with: 4726 / 653

Step 5:
The number 653 fits into 4726 7 times, leaving a remainder of 155.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 4571 from 4726 to get 155.
Include the next digit (6) from the dividend after 155, then repeat: 1556 / 653

Let's proceed to step 6:
If we divide 1556 by 653, we get 2 and a remainder of 250.
The number 2 becomes the next digit in our result. 
Result so far: 172.0
The remainder is 250 after subtracting 1306 from 1556.
Include the next digit (8) from the dividend after 250, then repeat: 2508 / 653

Let's proceed to step 7:
When dividing 2508 by 653, we get 3 with a remainder of 549.
Use 3 as the next digit of our solution. 
Result so far: 1723.0
Deduct 1959 from 2508 and we're left with 549.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5490, and continue the process.

Let's proceed to step 8:
653 goes into 5490 8 times with a remainder of 266.
The next digit of our result is 8. 
Result so far: 1723.8
If we take 5224 away from 5490, we end up with 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

On to step 9:
If we divide 2660 by 653, we get 4 and a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 1723.84
Deduct 2612 from 2660 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 10:
The number 653 fits into 480 0 times, leaving a remainder of 480.
Use 0 as the next digit of our solution. 
Result so far: 1723.84
Subtract 0 from 480 to get 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Going ahead to step 11:
When dividing 4800 by 653, we get 7 with a remainder of 229.
Write down 7 as next digit of the result. 
Result so far: 1723.8407
If we subtract 4571 from 4800, we get 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Step 12:
The number 653 fits into 2290 3 times, leaving a remainder of 331.
Write down 3 as next digit of the result. 
Result so far: 1723.84073
Subtract 1959 from 2290 to get 331.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3310, and continue the process.

Advancing to step 13:
653 goes into 3310 5 times with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 1723.840735
Deduct 3265 from 3310 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 14:
653 can be fit into 450 0 times, resulting in a remainder of 450.
The number 0 becomes the next digit in our result. 
Result so far: 1723.840735
If we subtract 0 from 450, we get 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Moving on to step 15:
If we divide 4500 by 653, we get 6 and a remainder of 582.
Put 6 as the next digit of the answer. 
Result so far: 1723.84073506
If we take 3918 away from 4500, we end up with 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

The quotient of the division is 1723.84073506, and the remainder is 5.82e-07.