825316 divided by 61 
The aim is to understand the frequency of 61 in 825316.

On to step 1:
If we divide 8 by 61, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 61

Going ahead to step 2:
61 goes into 82 1 times with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 61 from 82, we get 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 61

Step 3:
61 can be fit into 215 3 times, resulting in a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtracting 183 from 215 leaves us with 32.
Grab the next digit (3) from the dividend, add it to 32, then carry on: 323 / 61

Going ahead to step 4:
If we divide 323 by 61, we get 5 and a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
If we take 305 away from 323, we end up with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 61

Advancing to step 5:
61 can be fit into 181 2 times, resulting in a remainder of 59.
The number 2 becomes the next digit in our result. 
Result so far: 1352.0
If we subtract 122 from 181, we get 59.
Include the next digit (6) from the dividend after 59, then repeat: 596 / 61

Advancing to step 6:
The number 61 fits into 596 9 times, leaving a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 13529.0
If we take 549 away from 596, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 7:
470 divided by 61 is 7 with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 13529.7
Subtracting 427 from 470 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 8:
430 divided by 61 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 13529.77
If we subtract 427 from 430, 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.

The quotient of the division is 13529.77, and the remainder is 0.003.