Let's divide 519819 by 42
We want to figure out the number of times 519819 can be divided by 42.

Going ahead to step 1:
If we divide 5 by 42, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 42

Going ahead to step 2:
42 can be fit into 51 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 42 from 51 to get 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 42

Let's proceed to step 3:
42 goes into 99 2 times with a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 84 away from 99, we end up with 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 42

Moving on to step 4:
If we divide 158 by 42, we get 3 and a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 123.0
If we take 126 away from 158, we end up with 32.
Append the next digit (1) from the dividend to 32 and continue with: 321 / 42

Advancing to step 5:
42 goes into 321 7 times with a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 1237.0
If we subtract 294 from 321, we get 27.
Grab the next digit (9) from the dividend, add it to 27, then carry on: 279 / 42

Moving on to step 6:
42 goes into 279 6 times with a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 12376.0
Deduct 252 from 279 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 7:
42 goes into 270 6 times with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 12376.6
If we subtract 252 from 270, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
When dividing 180 by 42, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 12376.64
If we subtract 168 from 180, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
42 can be fit into 120 2 times, resulting in a remainder of 36.
The next digit of our result is 2. 
Result so far: 12376.642
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 10:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 12376.6428
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
When dividing 240 by 42, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 12376.64285
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
When dividing 300 by 42, we get 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 12376.642857
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
When dividing 60 by 42, we get 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 12376.6428571
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 14:
If we divide 180 by 42, we get 4 and a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 12376.64285714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 12376.64285714 and a remainder of 1.2e-08.