877674 divided by 7 
The aim is to understand the frequency of 7 in 877674.

On to step 1:
8 divided by 7 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 7 from 8.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 7

On to step 2:
If we divide 17 by 7, we get 2 and a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 3 after subtracting 14 from 17.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 7

Advancing to step 3:
37 divided by 7 is 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
Subtracting 35 from 37 leaves us with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 7

Step 4:
26 divided by 7 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 1253.0
If we take 21 away from 26, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Let's proceed to step 5:
7 goes into 57 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 12538.0
Deduct 56 from 57 and we're left with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 7

On to step 6:
7 goes into 14 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 125382.0
Subtracting 14 from 14 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
The number 7 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 125382.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
The number 7 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 125382.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 125382.0 with a remainder of 0.0.