We look at the division of 25674917 by 677 
The aim is to understand the frequency of 677 in 25674917.

Moving on to step 1:
If we divide 2 by 677, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 677

Moving on to step 2:
The number 677 fits into 25 0 times, leaving a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 677

Let's proceed to step 3:
The number 677 fits into 256 0 times, leaving a remainder of 256.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 256 to get 256.
Append the next digit (7) from the dividend to 256 and continue with: 2567 / 677

Let's proceed to step 4:
If we divide 2567 by 677, we get 3 and a remainder of 536.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 2031 away from 2567, we end up with 536.
Fetch the next digit (4) from the dividend, attach it to 536 and continue: 5364 / 677

Step 5:
5364 divided by 677 is 7 with a remainder of 625.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 4739 from 5364 to get 625.
Grab the next digit (9) from the dividend, add it to 625, then carry on: 6259 / 677

Going ahead to step 6:
6259 divided by 677 is 9 with a remainder of 166.
The next digit of our result is 9. 
Result so far: 379.0
Subtract 6093 from 6259 to get 166.
Include the next digit (1) from the dividend after 166, then repeat: 1661 / 677

Advancing to step 7:
The number 677 fits into 1661 2 times, leaving a remainder of 307.
Put 2 as the next digit of the answer. 
Result so far: 3792.0
Subtract 1354 from 1661 to get 307.
Bring next digit (7) of the dividend behind the 307 and repeat the process: 3077 / 677

On to step 8:
If we divide 3077 by 677, we get 4 and a remainder of 369.
Use 4 as the next digit of our solution. 
Result so far: 37924.0
If we subtract 2708 from 3077, we get 369.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3690, and continue the process.

Going ahead to step 9:
The number 677 fits into 3690 5 times, leaving a remainder of 305.
Use 5 as the next digit of our solution. 
Result so far: 37924.5
If we subtract 3385 from 3690, we get 305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3050, and continue the process.

Step 10:
The number 677 fits into 3050 4 times, leaving a remainder of 342.
Record the quotient 4 as the next digit in the result. 
Result so far: 37924.54
Subtract 2708 from 3050 to get 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

Let's proceed to step 11:
3420 divided by 677 is 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 37924.545
If we take 3385 away from 3420, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
350 divided by 677 is 0 with a remainder of 350.
Use 0 as the next digit of our solution. 
Result so far: 37924.545
If we take 0 away from 350, we end up with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Going ahead to step 13:
677 can be fit into 3500 5 times, resulting in a remainder of 115.
Record the quotient 5 as the next digit in the result. 
Result so far: 37924.54505
Subtract 3385 from 3500 to get 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

On to step 14:
When dividing 1150 by 677, we get 1 with a remainder of 473.
Write down 1 as next digit of the result. 
Result so far: 37924.545051
If we take 677 away from 1150, we end up with 473.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4730, and continue the process.

On to step 15:
677 goes into 4730 6 times with a remainder of 668.
Put 6 as the next digit of the answer. 
Result so far: 37924.5450516
If we subtract 4062 from 4730, we get 668.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6680, and continue the process.

Advancing to step 16:
When dividing 6680 by 677, we get 9 with a remainder of 587.
Put 9 as the next digit of the answer. 
Result so far: 37924.54505169
If we take 6093 away from 6680, we end up with 587.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5870, and continue the process.

The final result is 37924.54505169 with a remainder of 5.87e-07.