Let's divide 98419 by 11
We're looking to find how many times 11 goes into 98419.

Advancing to step 1:
11 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 11

Advancing to step 2:
11 can be fit into 98 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 88 away from 98, we end up with 10.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 11

Step 3:
If we divide 104 by 11, we get 9 and a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
Subtract 99 from 104 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 11

Step 4:
11 can be fit into 51 4 times, resulting in a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 894.0
If we subtract 44 from 51, we get 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 11

Moving on to step 5:
The number 11 fits into 79 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 8947.0
If we take 77 away from 79, 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 6:
11 goes into 20 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 8947.1
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.

Advancing to step 7:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8947.18
Subtracting 88 from 90 leaves us 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 8:
11 goes into 20 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 8947.181
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.

Moving on to step 9:
When dividing 90 by 11, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 8947.1818
Subtract 88 from 90 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.

Going ahead to step 10:
11 goes into 20 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 8947.18181
If we subtract 11 from 20, we 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 11:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8947.181818
Subtract 88 from 90 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.

On to step 12:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 8947.1818181
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.

Advancing to step 13:
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: 8947.18181818
Subtracting 88 from 90 leaves us 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.

After the division, we end up with 8947.18181818 and a remainder of 2e-09.