We look at the division of 375519 by 11 
Our goal is to divide 375519 by 11.

Step 1:
When dividing 3 by 11, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
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

Moving on to step 2:
The number 11 fits into 37 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 33 from 37, we get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 11

Step 3:
11 can be fit into 45 4 times, resulting in a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 34.0
The remainder is 1 after subtracting 44 from 45.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 11

On to step 4:
11 goes into 15 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 341.0
Subtracting 11 from 15 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 11

Step 5:
11 goes into 41 3 times with a remainder of 8.
The next digit of our result is 3. 
Result so far: 3413.0
Subtracting 33 from 41 leaves us with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 11

Advancing to step 6:
11 goes into 89 8 times with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 34138.0
The remainder is 1 after subtracting 88 from 89.
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 7:
When dividing 10 by 11, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 34138.0
Deduct 0 from 10 and we're left with 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.
Put 9 as the next digit of the answer. 
Result so far: 34138.09
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
10 divided by 11 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 34138.09
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 10:
11 goes into 100 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 34138.0909
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
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: 34138.0909
If we take 0 away from 10, we end up with 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 12:
When dividing 100 by 11, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 34138.090909
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.

Advancing to step 13:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 34138.090909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 34138.09090909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 34138.09090909 with a remaining 1e-09.