205225 ÷ 43 
We want to divide 205225 by 43.

Going ahead to step 1:
2 divided by 43 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 43

Let's proceed to step 2:
The number 43 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 20 leaves us with 20.
Take the next digit (5) from the dividend and append it to 20, then repeat: 205 / 43

On to step 3:
The number 43 fits into 205 4 times, leaving a remainder of 33.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 172 from 205 leaves us with 33.
Fetch the next digit (2) from the dividend, attach it to 33 and continue: 332 / 43

Step 4:
43 goes into 332 7 times with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 47.0
Subtract 301 from 332 to get 31.
Append the next digit (2) from the dividend to 31 and continue with: 312 / 43

Going ahead to step 5:
The number 43 fits into 312 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 477.0
Deduct 301 from 312 and we're left with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 43

Let's proceed to step 6:
The number 43 fits into 115 2 times, leaving a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 4772.0
Deduct 86 from 115 and we're left 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.

Let's proceed to step 7:
The number 43 fits into 290 6 times, leaving a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 4772.6
If we subtract 258 from 290, 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.

Step 8:
When dividing 320 by 43, we get 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 4772.67
Subtract 301 from 320 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
If we divide 190 by 43, we get 4 and a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 4772.674
Subtract 172 from 190 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
180 divided by 43 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4772.6744
Deduct 172 from 180 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 4772.6744, and the remainder is 8e-05.