278455 ÷ 7 
The aim is to understand the frequency of 7 in 278455.

Going ahead to step 1:
2 divided by 7 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 7

Advancing to step 2:
27 divided by 7 is 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 21 from 27 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 7

Going ahead to step 3:
7 goes into 68 9 times with a remainder of 5.
The next digit of our result is 9. 
Result so far: 39.0
Subtract 63 from 68 to get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 7

Step 4:
The number 7 fits into 54 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 397.0
Deduct 49 from 54 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 7

On to step 5:
55 divided by 7 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 3977.0
If we subtract 49 from 55, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 7

Advancing to step 6:
The number 7 fits into 65 9 times, leaving a remainder of 2.
The next digit of our result is 9. 
Result so far: 39779.0
Deduct 63 from 65 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
When dividing 20 by 7, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 39779.2
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
60 divided by 7 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 39779.28
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 39779.285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 39779.2857
Deduct 49 from 50 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 39779.28571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 39779.285714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
The number 7 fits into 20 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 39779.2857142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
7 goes into 60 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 39779.28571428
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 39779.28571428, and the remainder is 4e-09.