We look at the division of 45577 by 23 
We're looking to find how many times 23 goes into 45577.

Advancing to step 1:
The number 23 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 23

Step 2:
23 goes into 45 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 23 from 45 to get 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 23

Let's proceed to step 3:
If we divide 225 by 23, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Deduct 207 from 225 and we're left with 18.
Bring next digit (7) of the dividend behind the 18 and repeat the process: 187 / 23

Going ahead to step 4:
When dividing 187 by 23, we get 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 198.0
The remainder is 3 after subtracting 184 from 187.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 23

On to step 5:
The number 23 fits into 37 1 times, leaving a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1981.0
Deduct 23 from 37 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 6:
140 divided by 23 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 1981.6
Subtract 138 from 140 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
If we divide 20 by 23, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 1981.6
If we take 0 away from 20, we end up 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.

On to step 8:
200 divided by 23 is 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 1981.608
The remainder is 16 after subtracting 184 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
160 divided by 23 is 6 with a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 1981.6086
Subtract 138 from 160 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 10:
If we divide 220 by 23, we get 9 and a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 1981.60869
Subtract 207 from 220 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 11:
23 can be fit into 130 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 1981.608695
The remainder is 15 after subtracting 115 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
The number 23 fits into 150 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1981.6086956
The remainder is 12 after subtracting 138 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
23 can be fit into 120 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 1981.60869565
The remainder is 5 after subtracting 115 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 1981.60869565, and the remainder is 5e-09.