We divide 45677 by 11
We're looking to find how many times 11 goes into 45677.

On to step 1:
The number 11 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 11

Going ahead to step 2:
If we divide 45 by 11, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 44 from 45, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 11

Advancing to step 3:
If we divide 16 by 11, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Deduct 11 from 16 and we're left with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 11

Advancing to step 4:
57 divided by 11 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 415.0
Subtracting 55 from 57 leaves us with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 11

Going ahead to step 5:
The number 11 fits into 27 2 times, leaving a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 4152.0
If we subtract 22 from 27, 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.

On to step 6:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 4152.4
If we subtract 44 from 50, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
11 can be fit into 60 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4152.45
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
11 goes into 50 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4152.454
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
11 goes into 60 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 4152.4545
If we subtract 55 from 60, 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.

Advancing to step 10:
If we divide 50 by 11, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 4152.45454
If we subtract 44 from 50, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4152.454545
Deduct 55 from 60 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
If we divide 50 by 11, we get 4 and a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4152.4545454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
11 goes into 60 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4152.45454545
Subtract 55 from 60 to 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.

The final outcome is 4152.45454545, with a leftover of 5e-09.