We look at the division of 205966 by 53 
We're looking to find how many times 53 goes into 205966.

Advancing to step 1:
53 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 53

Advancing to step 2:
When dividing 20 by 53, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 53

Step 3:
If we divide 205 by 53, we get 3 and a remainder of 46.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 159 from 205, we get 46.
Fetch the next digit (9) from the dividend, attach it to 46 and continue: 469 / 53

Advancing to step 4:
53 can be fit into 469 8 times, resulting in a remainder of 45.
Write down 8 as next digit of the result. 
Result so far: 38.0
Subtracting 424 from 469 leaves us with 45.
Take the next digit (6) from the dividend and append it to 45, then repeat: 456 / 53

Going ahead to step 5:
When dividing 456 by 53, we get 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 388.0
Subtract 424 from 456 to get 32.
Grab the next digit (6) from the dividend, add it to 32, then carry on: 326 / 53

Advancing to step 6:
53 can be fit into 326 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 3886.0
The remainder is 8 after subtracting 318 from 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
If we divide 80 by 53, we get 1 and a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 3886.1
If we subtract 53 from 80, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 8:
270 divided by 53 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 3886.15
If we subtract 265 from 270, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
53 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 3886.15
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
53 can be fit into 500 9 times, resulting in a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 3886.1509
Subtracting 477 from 500 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 11:
When dividing 230 by 53, we get 4 with a remainder of 18.
The next digit of our result is 4. 
Result so far: 3886.15094
Deduct 212 from 230 and we're left 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.

Let's proceed to step 12:
When dividing 180 by 53, we get 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 3886.150943
Deduct 159 from 180 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 13:
If we divide 210 by 53, we get 3 and a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 3886.1509433
If we take 159 away from 210, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final result is 3886.1509433 with a remainder of 5.1e-07.