Let's divide 371435 by 11
We're looking to find how many times 11 goes into 371435.

Step 1:
The number 11 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 11

Advancing to step 2:
The number 11 fits into 37 3 times, leaving a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 33 from 37 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 11

Advancing to step 3:
The number 11 fits into 41 3 times, leaving a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Subtract 33 from 41 to get 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 11

Moving on to step 4:
When dividing 84 by 11, we get 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 337.0
If we subtract 77 from 84, we get 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 11

Step 5:
11 can be fit into 73 6 times, resulting in a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 3376.0
The remainder is 7 after subtracting 66 from 73.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 11

On to step 6:
When dividing 75 by 11, we get 6 with a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 33766.0
If we subtract 66 from 75, 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.

Step 7:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 33766.8
Subtract 88 from 90 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 33766.81
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.

Let's proceed to step 9:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 33766.818
Deduct 88 from 90 and we're left 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:
11 goes into 20 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 33766.8181
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.

Let's proceed to step 11:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 33766.81818
Subtract 88 from 90 to get 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: 33766.818181
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.

Advancing to step 13:
11 goes into 90 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 33766.8181818
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.

Step 14:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 33766.81818181
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.

The quotient of the division is 33766.81818181, and the remainder is 9e-09.