We're dividing 8420275 by 827 
The aim is to understand the frequency of 827 in 8420275.

Step 1:
When dividing 8 by 827, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 827

Step 2:
The number 827 fits into 84 0 times, leaving a remainder of 84.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 84, we end up with 84.
Append the next digit (2) from the dividend to 84 and continue with: 842 / 827

Going ahead to step 3:
When dividing 842 by 827, we get 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 827 from 842, we get 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 827

Going ahead to step 4:
150 divided by 827 is 0 with a remainder of 150.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 150, we get 150.
Take the next digit (2) from the dividend and append it to 150, then repeat: 1502 / 827

Step 5:
When dividing 1502 by 827, we get 1 with a remainder of 675.
The next digit of our result is 1. 
Result so far: 101.0
If we subtract 827 from 1502, we get 675.
Take the next digit (7) from the dividend and append it to 675, then repeat: 6757 / 827

On to step 6:
When dividing 6757 by 827, we get 8 with a remainder of 141.
Record the quotient 8 as the next digit in the result. 
Result so far: 1018.0
Subtract 6616 from 6757 to get 141.
Append the next digit (5) from the dividend to 141 and continue with: 1415 / 827

Going ahead to step 7:
When dividing 1415 by 827, we get 1 with a remainder of 588.
The next digit of our result is 1. 
Result so far: 10181.0
If we subtract 827 from 1415, we get 588.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5880, and continue the process.

Moving on to step 8:
5880 divided by 827 is 7 with a remainder of 91.
Record the quotient 7 as the next digit in the result. 
Result so far: 10181.7
If we subtract 5789 from 5880, we get 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 9:
827 goes into 910 1 times with a remainder of 83.
Write down 1 as next digit of the result. 
Result so far: 10181.71
Deduct 827 from 910 and we're left with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 10:
When dividing 830 by 827, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 10181.711
If we subtract 827 from 830, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 10181.711 with a remaining 0.0003.