We divide 37531 by 11
Our goal is to divide 37531 by 11.

Advancing to step 1:
When dividing 3 by 11, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 11

On to step 2:
When dividing 37 by 11, we get 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 33 from 37 leaves us with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 11

Going ahead to step 3:
If we divide 45 by 11, we get 4 and a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we take 44 away from 45, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 11

Going ahead to step 4:
13 divided by 11 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 341.0
The remainder is 2 after subtracting 11 from 13.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 11

On to step 5:
21 divided by 11 is 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 3411.0
If we take 11 away from 21, 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.

Going ahead to step 6:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 3411.9
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.

Advancing to step 7:
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: 3411.9
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.

Step 8:
11 goes into 100 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 3411.909
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.

Step 9:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 3411.909
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 10:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 3411.90909
If we subtract 99 from 100, we 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.

Moving on to step 11:
If we divide 10 by 11, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 3411.90909
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.

On to step 12:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 3411.9090909
The remainder is 1 after subtracting 99 from 100.
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 13:
If we divide 10 by 11, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 3411.9090909
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.

The quotient of the division is 3411.9090909, and the remainder is 1e-08.