172984 ÷ 11 
We're looking to find how many times 11 goes into 172984.

Step 1:
11 can be fit into 1 0 times, resulting in 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 (7) of the dividend behind the 1 and repeat the process: 17 / 11

Let's proceed to step 2:
17 divided by 11 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 11 from 17 to get 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 11

Let's proceed to step 3:
When dividing 62 by 11, we get 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we subtract 55 from 62, we get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 11

Going ahead to step 4:
If we divide 79 by 11, we get 7 and a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
Subtracting 77 from 79 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 11

Step 5:
The number 11 fits into 28 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 1572.0
If we take 22 away from 28, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 11

Going ahead to step 6:
The number 11 fits into 64 5 times, leaving a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 15725.0
Deduct 55 from 64 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 7:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 15725.8
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.

Moving on to step 8:
When dividing 20 by 11, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 15725.81
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.

Step 9:
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: 15725.818
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.

Step 10:
When dividing 20 by 11, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 15725.8181
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.

Step 11:
90 divided by 11 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 15725.81818
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.

Step 12:
If we divide 20 by 11, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 15725.818181
The remainder is 9 after subtracting 11 from 20.
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:
11 goes into 90 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 15725.8181818
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.

Step 14:
If we divide 20 by 11, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 15725.81818181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 15725.81818181 with a remaining 9e-09.