205969 divided by 45 
We want to divide 205969 by 45.

Moving on to step 1:
When dividing 2 by 45, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 45

Advancing to step 2:
The number 45 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 20 leaves us with 20.
Fetch the next digit (5) from the dividend, attach it to 20 and continue: 205 / 45

Let's proceed to step 3:
45 goes into 205 4 times with a remainder of 25.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 25 after subtracting 180 from 205.
Grab the next digit (9) from the dividend, add it to 25, then carry on: 259 / 45

Moving on to step 4:
45 can be fit into 259 5 times, resulting in a remainder of 34.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
If we subtract 225 from 259, we get 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 45

On to step 5:
When dividing 346 by 45, we get 7 with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 457.0
If we take 315 away from 346, we end up with 31.
Fetch the next digit (9) from the dividend, attach it to 31 and continue: 319 / 45

Let's proceed to step 6:
45 goes into 319 7 times with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 4577.0
Deduct 315 from 319 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
If we divide 40 by 45, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 4577.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
45 can be fit into 400 8 times, resulting in a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 4577.08
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
45 goes into 400 8 times with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 4577.088
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 4577.088 with a balance of 0.004.