421981 divided by 53 
The aim is to understand the frequency of 53 in 421981.

Step 1:
If we divide 4 by 53, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 53

Step 2:
53 goes into 42 0 times with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 53

Step 3:
53 can be fit into 421 7 times, resulting in a remainder of 50.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 371 from 421 and we're left with 50.
Take the next digit (9) from the dividend and append it to 50, then repeat: 509 / 53

Step 4:
509 divided by 53 is 9 with a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 79.0
The remainder is 32 after subtracting 477 from 509.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 53

Moving on to step 5:
53 goes into 328 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 796.0
Subtract 318 from 328 to get 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 53

Moving on to step 6:
53 goes into 101 1 times with a remainder of 48.
Record the quotient 1 as the next digit in the result. 
Result so far: 7961.0
If we subtract 53 from 101, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
53 goes into 480 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 7961.9
If we take 477 away from 480, 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 8:
53 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 7961.9
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
If we divide 300 by 53, we get 5 and a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 7961.905
Subtracting 265 from 300 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 10:
When dividing 350 by 53, we get 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 7961.9056
Subtracting 318 from 350 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
When dividing 320 by 53, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 7961.90566
If we subtract 318 from 320, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 7961.90566, with a leftover of 2e-06.