205565 ÷ 48 
We're looking to find how many times 48 goes into 205565.

On to step 1:
If we divide 2 by 48, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 48

Step 2:
The number 48 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 20 after subtracting 0 from 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 48

On to step 3:
If we divide 205 by 48, we get 4 and a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 192 from 205 and we're left with 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 48

Moving on to step 4:
48 goes into 135 2 times with a remainder of 39.
The next digit of our result is 2. 
Result so far: 42.0
Deduct 96 from 135 and we're left with 39.
Bring next digit (6) of the dividend behind the 39 and repeat the process: 396 / 48

Let's proceed to step 5:
When dividing 396 by 48, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 428.0
If we subtract 384 from 396, we get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 48

On to step 6:
48 can be fit into 125 2 times, resulting in a remainder of 29.
The next digit of our result is 2. 
Result so far: 4282.0
Subtracting 96 from 125 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
48 can be fit into 290 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 4282.6
Deduct 288 from 290 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
20 divided by 48 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4282.6
Deduct 0 from 20 and we're left with 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 9:
48 can be fit into 200 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 4282.604
Subtract 192 from 200 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
48 goes into 80 1 times with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 4282.6041
Subtracting 48 from 80 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.

On to step 11:
48 can be fit into 320 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 4282.60416
If we take 288 away from 320, we end up 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.

On to step 12:
The number 48 fits into 320 6 times, leaving a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 4282.604166
If we take 288 away from 320, we end up 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.

The final result is 4282.604166 with a remainder of 3.2e-06.