Let's divide 371677 by 11
We're looking to find how many times 11 goes into 371677.

Moving on to step 1:
3 divided by 11 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 11

Step 2:
If we divide 37 by 11, we get 3 and a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 33 from 37 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 11

Let's proceed to step 3:
11 can be fit into 41 3 times, resulting in a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Deduct 33 from 41 and we're left with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 11

Let's proceed to step 4:
86 divided by 11 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 337.0
If we subtract 77 from 86, we get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 11

Let's proceed to step 5:
The number 11 fits into 97 8 times, leaving a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 3378.0
Subtracting 88 from 97 leaves us with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 11

Going ahead to step 6:
11 can be fit into 97 8 times, resulting in a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 33788.0
Subtracting 88 from 97 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
90 divided by 11 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 33788.8
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
If we divide 20 by 11, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 33788.81
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
90 divided by 11 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 33788.818
If we take 88 away from 90, we end up with 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 10:
When dividing 20 by 11, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 33788.8181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 33788.81818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
If we divide 20 by 11, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 33788.818181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
11 can be fit into 90 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 33788.8181818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 14:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 33788.81818181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 33788.81818181 with a remaining 9e-09.