Let's divide 980003 by 11
We want to figure out the number of times 980003 can be divided by 11.

Advancing to step 1:
9 divided by 11 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 11

Going ahead to step 2:
If we divide 98 by 11, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 88 from 98 and we're left with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 11

Advancing to step 3:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
Subtract 99 from 100 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 11

Advancing to step 4:
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: 890.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 11

Step 5:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 8909.0
Deduct 99 from 100 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 11

Advancing to step 6:
If we divide 13 by 11, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 89091.0
Subtract 11 from 13 to 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.

Advancing to step 7:
11 goes into 20 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 89091.1
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.

On to step 8:
When dividing 90 by 11, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 89091.18
Deduct 88 from 90 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.

Let's proceed to step 9:
If we divide 20 by 11, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 89091.181
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.

On to step 10:
When dividing 90 by 11, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 89091.1818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
20 divided by 11 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 89091.18181
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.

On to step 12:
90 divided by 11 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 89091.181818
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.

Let's proceed to step 13:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 89091.1818181
Subtracting 11 from 20 leaves us 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.

Step 14:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 89091.18181818
Deduct 88 from 90 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.

The final outcome is 89091.18181818, with a leftover of 2e-09.