Let's divide 126301 by 11
We want to figure out the number of times 126301 can be divided by 11.

Advancing to step 1:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 11

On to step 2:
The number 11 fits into 12 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 11 from 12 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 11

Going ahead to step 3:
If we divide 16 by 11, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 11 from 16 to get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 11

Let's proceed to step 4:
The number 11 fits into 53 4 times, leaving a remainder of 9.
The next digit of our result is 4. 
Result so far: 114.0
Subtracting 44 from 53 leaves us with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 11

Moving on to step 5:
When dividing 90 by 11, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1148.0
If we subtract 88 from 90, we get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 11

Going ahead to step 6:
The number 11 fits into 21 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 11481.0
Deduct 11 from 21 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.

Moving on to step 7:
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: 11481.9
Subtracting 99 from 100 leaves us 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.

Going ahead to step 8:
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: 11481.9
Subtract 0 from 10 to get 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 9:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 11481.909
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 10:
If we divide 10 by 11, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 11481.909
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.

Moving on to step 11:
100 divided by 11 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 11481.90909
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 12:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 11481.90909
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
If we divide 100 by 11, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 11481.9090909
Subtracting 99 from 100 leaves us 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 14:
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: 11481.9090909
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.

The quotient of the division is 11481.9090909, and the remainder is 1e-08.