423677 ÷ 11 
We want to divide 423677 by 11.

Moving on to step 1:
4 divided by 11 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 11

Step 2:
42 divided by 11 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 3.0
If we take 33 away from 42, we end up with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 11

Step 3:
When dividing 93 by 11, we get 8 with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Subtract 88 from 93 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 11

Let's proceed to step 4:
11 can be fit into 56 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 385.0
Subtracting 55 from 56 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 11

Let's proceed to step 5:
17 divided by 11 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 3851.0
Subtract 11 from 17 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 11

Moving on to step 6:
When dividing 67 by 11, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 38516.0
Subtract 66 from 67 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 11 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 38516.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
11 goes into 100 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 38516.09
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 38516.09
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
100 divided by 11 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 38516.0909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 38516.0909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
11 goes into 100 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 38516.090909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 38516.090909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 38516.09090909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 38516.09090909 and a remainder of 1e-09.