We're dividing 642419 by 90 
We want to figure out the number of times 642419 can be divided by 90.

Let's proceed to step 1:
When dividing 6 by 90, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 90

Let's proceed to step 2:
The number 90 fits into 64 0 times, leaving a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Append the next digit (2) from the dividend to 64 and continue with: 642 / 90

Advancing to step 3:
642 divided by 90 is 7 with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 630 from 642, we get 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 90

On to step 4:
124 divided by 90 is 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 34 after subtracting 90 from 124.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 90

Let's proceed to step 5:
90 can be fit into 341 3 times, resulting in a remainder of 71.
Use 3 as the next digit of our solution. 
Result so far: 713.0
If we take 270 away from 341, we end up with 71.
Grab the next digit (9) from the dividend, add it to 71, then carry on: 719 / 90

Step 6:
When dividing 719 by 90, we get 7 with a remainder of 89.
The number 7 becomes the next digit in our result. 
Result so far: 7137.0
If we subtract 630 from 719, we get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Going ahead to step 7:
90 can be fit into 890 9 times, resulting in a remainder of 80.
Record the quotient 9 as the next digit in the result. 
Result so far: 7137.9
Subtracting 810 from 890 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 8:
The number 90 fits into 800 8 times, leaving a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 7137.98
The remainder is 80 after subtracting 720 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 9:
90 goes into 800 8 times with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 7137.988
Subtract 720 from 800 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final outcome is 7137.988, with a leftover of 0.008.