113951 divided by 11 
We want to divide 113951 by 11.

Step 1:
11 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 11

On to step 2:
11 can be fit into 11 1 times, resulting in a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we take 11 away from 11, we end up with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 11

Advancing to step 3:
11 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 11

On to step 4:
When dividing 39 by 11, we get 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 103.0
Deduct 33 from 39 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 11

Let's proceed to step 5:
When dividing 65 by 11, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 1035.0
The remainder is 10 after subtracting 55 from 65.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 11

Going ahead to step 6:
When dividing 101 by 11, we get 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 10359.0
Deduct 99 from 101 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.

Advancing to step 7:
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: 10359.1
If we take 11 away from 20, we end up 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.

Going ahead to step 8:
When dividing 90 by 11, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10359.18
If we subtract 88 from 90, we 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.

Let's proceed to step 9:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 10359.181
If we take 11 away from 20, we end up 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.

Advancing to step 10:
90 divided by 11 is 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 10359.1818
If we take 88 away from 90, we end up 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.

Going ahead to step 11:
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: 10359.18181
Deduct 11 from 20 and we're left 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 12:
If we divide 90 by 11, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10359.181818
If we take 88 away from 90, we end up 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.

Step 13:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 10359.1818181
Subtract 11 from 20 to 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.

Let's proceed to step 14:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10359.18181818
If we take 88 away from 90, we end up 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.

The quotient of the division is 10359.18181818, and the remainder is 2e-09.