Let's divide 376435 by 11
We want to figure out the number of times 376435 can be divided by 11.

Step 1:
If we divide 3 by 11, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 11

Going ahead to step 2:
37 divided by 11 is 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 33 from 37 and we're left with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 11

On to 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
The remainder is 2 after subtracting 44 from 46.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 11

On to step 4:
The number 11 fits into 24 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 342.0
Subtract 22 from 24 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 11

Step 5:
If we divide 23 by 11, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 3422.0
Subtracting 22 from 23 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 11

Let's proceed to step 6:
When dividing 15 by 11, we get 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 34221.0
Deduct 11 from 15 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.

Step 7:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 34221.3
If we take 33 away from 40, we end up 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.

Let's proceed to step 8:
When dividing 70 by 11, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 34221.36
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.

On to step 9:
40 divided by 11 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 34221.363
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.

Step 10:
If we divide 70 by 11, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 34221.3636
Subtract 66 from 70 to 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 11:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 34221.36363
If we take 33 away from 40, we end up 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 12:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 34221.363636
Subtract 66 from 70 to 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 13:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 34221.3636363
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.

On to step 14:
70 divided by 11 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 34221.36363636
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.

The quotient of the division is 34221.36363636, and the remainder is 4e-09.