We're dividing 4425672 by 205 
We want to divide 4425672 by 205.

Advancing to step 1:
When dividing 4 by 205, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 205

Going ahead to step 2:
If we divide 44 by 205, we get 0 and a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 44, we get 44.
Fetch the next digit (2) from the dividend, attach it to 44 and continue: 442 / 205

Advancing to step 3:
205 goes into 442 2 times with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 410 from 442 and we're left with 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 205

Step 4:
If we divide 325 by 205, we get 1 and a remainder of 120.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Deduct 205 from 325 and we're left with 120.
Take the next digit (6) from the dividend and append it to 120, then repeat: 1206 / 205

Step 5:
205 goes into 1206 5 times with a remainder of 181.
Record the quotient 5 as the next digit in the result. 
Result so far: 215.0
If we take 1025 away from 1206, we end up with 181.
Take the next digit (7) from the dividend and append it to 181, then repeat: 1817 / 205

Step 6:
When dividing 1817 by 205, we get 8 with a remainder of 177.
The number 8 becomes the next digit in our result. 
Result so far: 2158.0
If we subtract 1640 from 1817, we get 177.
Take the next digit (2) from the dividend and append it to 177, then repeat: 1772 / 205

Moving on to step 7:
If we divide 1772 by 205, we get 8 and a remainder of 132.
Put 8 as the next digit of the answer. 
Result so far: 21588.0
Deduct 1640 from 1772 and we're left with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Let's proceed to step 8:
1320 divided by 205 is 6 with a remainder of 90.
Record the quotient 6 as the next digit in the result. 
Result so far: 21588.6
Deduct 1230 from 1320 and we're left with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 9:
205 can be fit into 900 4 times, resulting in a remainder of 80.
Record the quotient 4 as the next digit in the result. 
Result so far: 21588.64
Deduct 820 from 900 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 10:
If we divide 800 by 205, we get 3 and a remainder of 185.
Put 3 as the next digit of the answer. 
Result so far: 21588.643
If we take 615 away from 800, we end up with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

On to step 11:
The number 205 fits into 1850 9 times, leaving a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 21588.6439
If we subtract 1845 from 1850, 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 12:
The number 205 fits into 50 0 times, leaving a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 21588.6439
Subtract 0 from 50 to get 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 13:
500 divided by 205 is 2 with a remainder of 90.
Write down 2 as next digit of the result. 
Result so far: 21588.643902
Subtract 410 from 500 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 14:
900 divided by 205 is 4 with a remainder of 80.
Use 4 as the next digit of our solution. 
Result so far: 21588.6439024
Deduct 820 from 900 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 15:
800 divided by 205 is 3 with a remainder of 185.
Use 3 as the next digit of our solution. 
Result so far: 21588.64390243
Subtract 615 from 800 to get 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

In conclusion, the division gives 21588.64390243 with a balance of 1.85e-07.