8561 divided by 52 
The aim is to understand the frequency of 52 in 8561.

On to step 1:
52 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 52

Let's proceed to step 2:
When dividing 85 by 52, we get 1 with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 52 from 85 leaves us with 33.
Take the next digit (6) from the dividend and append it to 33, then repeat: 336 / 52

On to step 3:
52 can be fit into 336 6 times, resulting in a remainder of 24.
The next digit of our result is 6. 
Result so far: 16.0
Subtract 312 from 336 to get 24.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 52

Step 4:
52 can be fit into 241 4 times, resulting in a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 164.0
If we take 208 away from 241, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 5:
330 divided by 52 is 6 with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 164.6
Subtracting 312 from 330 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 6:
The number 52 fits into 180 3 times, leaving a remainder of 24.
Put 3 as the next digit of the answer. 
Result so far: 164.63
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
52 goes into 240 4 times with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 164.634
If we subtract 208 from 240, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
The number 52 fits into 320 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 164.6346
The remainder is 8 after subtracting 312 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
52 can be fit into 80 1 times, resulting in a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 164.63461
If we subtract 52 from 80, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
If we divide 280 by 52, we get 5 and a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 164.634615
If we subtract 260 from 280, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
52 goes into 200 3 times with a remainder of 44.
Write down 3 as next digit of the result. 
Result so far: 164.6346153
Deduct 156 from 200 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 12:
440 divided by 52 is 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 164.63461538
Deduct 416 from 440 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 164.63461538, and the remainder is 2.4e-08.