We look at the division of 185726 by 45 
We're looking to find how many times 45 goes into 185726.

Going ahead to step 1:
45 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 45

On to step 2:
If we divide 18 by 45, we get 0 and a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 18 to get 18.
Grab the next digit (5) from the dividend, add it to 18, then carry on: 185 / 45

Step 3:
45 can be fit into 185 4 times, resulting in a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 5 after subtracting 180 from 185.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 45

Going ahead to step 4:
If we divide 57 by 45, we get 1 and a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 41.0
If we subtract 45 from 57, we get 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 45

On to step 5:
The number 45 fits into 122 2 times, leaving a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 412.0
Subtract 90 from 122 to get 32.
Take the next digit (6) from the dividend and append it to 32, then repeat: 326 / 45

Let's proceed to step 6:
45 can be fit into 326 7 times, resulting in a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 4127.0
Subtract 315 from 326 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
110 divided by 45 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 4127.2
Deduct 90 from 110 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 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 4127.24
Subtracting 180 from 200 leaves us 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.

Step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 4127.244
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 4127.244 with a balance of 0.002.