We're dividing 376658 by 11 
We're looking to find how many times 11 goes into 376658.

On to step 1:
11 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 11

Moving on to step 2:
11 goes into 37 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 33 from 37 leaves us with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 11

Step 3:
If we divide 46 by 11, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we take 44 away from 46, we end up with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 11

Advancing to step 4:
The number 11 fits into 26 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 342.0
The remainder is 4 after subtracting 22 from 26.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 11

Advancing to step 5:
45 divided by 11 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 3424.0
Subtracting 44 from 45 leaves us with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 11

Advancing to step 6:
If we divide 18 by 11, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 34241.0
Subtracting 11 from 18 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 34241.6
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
40 divided by 11 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 34241.63
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
11 goes into 70 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 34241.636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
40 divided by 11 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 34241.6363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
When dividing 70 by 11, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 34241.63636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
40 divided by 11 is 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 34241.636363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
If we divide 70 by 11, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 34241.6363636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
If we divide 40 by 11, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 34241.63636363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Our division results in 34241.63636363 with a remaining 7e-09.