103610 ÷ 11 
Our goal is to divide 103610 by 11.

Going ahead to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 11

Moving on to step 2:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 11

Going ahead to step 3:
When dividing 103 by 11, we get 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 99 from 103 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 11

Going ahead to step 4:
If we divide 46 by 11, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 94.0
Subtract 44 from 46 to get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 11

Moving on to step 5:
If we divide 21 by 11, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 941.0
If we subtract 11 from 21, we get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 11

Step 6:
100 divided by 11 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 9419.0
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 7:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 9419.0
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.

Step 8:
11 goes into 100 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 9419.09
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.

Going ahead to 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: 9419.09
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.

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: 9419.0909
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.

Going ahead to step 11:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 9419.0909
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.

Going ahead to step 12:
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: 9419.090909
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 13:
11 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 9419.090909
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.

Step 14:
When dividing 100 by 11, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 9419.09090909
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.

The quotient of the division is 9419.09090909, and the remainder is 1e-09.