We look at the division of 8097344 by 419 
We want to figure out the number of times 8097344 can be divided by 419.

Step 1:
If we divide 8 by 419, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 419

Let's proceed to step 2:
80 divided by 419 is 0 with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 80 after subtracting 0 from 80.
Grab the next digit (9) from the dividend, add it to 80, then carry on: 809 / 419

Let's proceed to step 3:
419 can be fit into 809 1 times, resulting in a remainder of 390.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 419 from 809 leaves us with 390.
Grab the next digit (7) from the dividend, add it to 390, then carry on: 3907 / 419

On to step 4:
419 can be fit into 3907 9 times, resulting in a remainder of 136.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 136 after subtracting 3771 from 3907.
Bring next digit (3) of the dividend behind the 136 and repeat the process: 1363 / 419

Going ahead to step 5:
419 goes into 1363 3 times with a remainder of 106.
The next digit of our result is 3. 
Result so far: 193.0
If we subtract 1257 from 1363, we get 106.
Include the next digit (4) from the dividend after 106, then repeat: 1064 / 419

Let's proceed to step 6:
The number 419 fits into 1064 2 times, leaving a remainder of 226.
The number 2 becomes the next digit in our result. 
Result so far: 1932.0
If we take 838 away from 1064, we end up with 226.
Bring next digit (4) of the dividend behind the 226 and repeat the process: 2264 / 419

Moving on to step 7:
The number 419 fits into 2264 5 times, leaving a remainder of 169.
The next digit of our result is 5. 
Result so far: 19325.0
Subtracting 2095 from 2264 leaves us with 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1690, and continue the process.

Moving on to step 8:
When dividing 1690 by 419, we get 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 19325.4
The remainder is 14 after subtracting 1676 from 1690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
If we divide 140 by 419, we get 0 and a remainder of 140.
Use 0 as the next digit of our solution. 
Result so far: 19325.4
If we take 0 away from 140, we end up with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Advancing to step 10:
If we divide 1400 by 419, we get 3 and a remainder of 143.
Use 3 as the next digit of our solution. 
Result so far: 19325.403
If we subtract 1257 from 1400, we get 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Moving on to step 11:
419 goes into 1430 3 times with a remainder of 173.
The number 3 becomes the next digit in our result. 
Result so far: 19325.4033
Subtracting 1257 from 1430 leaves us with 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

The quotient of the division is 19325.4033, and the remainder is 0.00173.