Let's divide 578016 by 42
We want to divide 578016 by 42.

Moving on to step 1:
5 divided by 42 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 42

On to step 2:
42 goes into 57 1 times with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 15 after subtracting 42 from 57.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 42

On to step 3:
42 goes into 158 3 times with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we take 126 away from 158, we end up with 32.
Grab the next digit (0) from the dividend, add it to 32, then carry on: 320 / 42

Going ahead to step 4:
If we divide 320 by 42, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 137.0
Subtract 294 from 320 to get 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 42

Let's proceed to step 5:
42 goes into 261 6 times with a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 1376.0
Subtract 252 from 261 to get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 42

Going ahead to step 6:
If we divide 96 by 42, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 13762.0
If we take 84 away from 96, we end up 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.

On to step 7:
If we divide 120 by 42, we get 2 and a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 13762.2
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 8:
If we divide 360 by 42, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 13762.28
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 13762.285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
300 divided by 42 is 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 13762.2857
If we subtract 294 from 300, we get 6.
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 11:
42 goes into 60 1 times with a remainder of 18.
The next digit of our result is 1. 
Result so far: 13762.28571
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
When dividing 180 by 42, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 13762.285714
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.

On to step 13:
If we divide 120 by 42, we get 2 and a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 13762.2857142
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 14:
When dividing 360 by 42, we get 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 13762.28571428
If we take 336 away from 360, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 13762.28571428 with a balance of 2.4e-08.