87806 divided by 53 
The aim is to understand the frequency of 53 in 87806.

Going ahead to step 1:
8 divided by 53 is 0 with 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.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 53

On to step 2:
87 divided by 53 is 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 1.0
If we take 53 away from 87, we end up with 34.
Include the next digit (8) from the dividend after 34, then repeat: 348 / 53

Advancing to step 3:
348 divided by 53 is 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtract 318 from 348 to get 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 53

Step 4:
53 goes into 300 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 165.0
Subtracting 265 from 300 leaves us with 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 53

Step 5:
53 goes into 356 6 times with a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 1656.0
If we take 318 away from 356, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 6:
If we divide 380 by 53, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 1656.7
The remainder is 9 after subtracting 371 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
53 can be fit into 90 1 times, resulting in a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 1656.71
Subtract 53 from 90 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
If we divide 370 by 53, we get 6 and a remainder of 52.
The next digit of our result is 6. 
Result so far: 1656.716
If we subtract 318 from 370, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 9:
The number 53 fits into 520 9 times, leaving a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 1656.7169
Subtracting 477 from 520 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.

Going ahead to step 10:
53 can be fit into 430 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 1656.71698
Subtracting 424 from 430 leaves us 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.

Step 11:
53 goes into 60 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1656.716981
Subtracting 53 from 60 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
53 goes into 70 1 times with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 1656.7169811
Deduct 53 from 70 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 1656.7169811 and a remainder of 1.7e-07.