Let's divide 17919 by 8
Our goal is to divide 17919 by 8.

On to step 1:
8 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 8

Advancing to step 2:
8 goes into 17 2 times with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 1 after subtracting 16 from 17.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 8

Going ahead to step 3:
8 goes into 19 2 times with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtracting 16 from 19 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

On to step 4:
The number 8 fits into 31 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 223.0
The remainder is 7 after subtracting 24 from 31.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 8

Moving on to step 5:
8 goes into 79 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 2239.0
Deduct 72 from 79 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 6:
When dividing 70 by 8, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 2239.8
The remainder is 6 after subtracting 64 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
8 can be fit into 60 7 times, resulting in a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 2239.87
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 2239.875
If we subtract 40 from 40, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
When dividing 0 by 8, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2239.875
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
8 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 2239.875
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 2239.875 with a remainder of 0.0.