819541 divided by 42 
We want to divide 819541 by 42.

Going ahead to step 1:
If we divide 8 by 42, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 42

Step 2:
When dividing 81 by 42, we get 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 42 from 81 and we're left with 39.
Fetch the next digit (9) from the dividend, attach it to 39 and continue: 399 / 42

Let's proceed to step 3:
399 divided by 42 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 19.0
If we take 378 away from 399, we end up with 21.
Take the next digit (5) from the dividend and append it to 21, then repeat: 215 / 42

On to step 4:
215 divided by 42 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 195.0
If we take 210 away from 215, we end up with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 42

On to step 5:
If we divide 54 by 42, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 1951.0
Deduct 42 from 54 and we're left with 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 42

Let's proceed to step 6:
42 goes into 121 2 times with a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 19512.0
Subtract 84 from 121 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
370 divided by 42 is 8 with a remainder of 34.
Write down 8 as next digit of the result. 
Result so far: 19512.8
Subtracting 336 from 370 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
When dividing 340 by 42, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 19512.88
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 19512.88 with a remaining 0.004.