We look at the division of 577867 by 42 
We want to divide 577867 by 42.

Let's proceed to step 1:
5 divided by 42 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 42

On to step 2:
42 can be fit into 57 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 42 from 57 leaves us with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 42

Advancing to step 3:
157 divided by 42 is 3 with a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 126 from 157 to get 31.
Append the next digit (8) from the dividend to 31 and continue with: 318 / 42

Moving on to step 4:
42 goes into 318 7 times with a remainder of 24.
The next digit of our result is 7. 
Result so far: 137.0
Deduct 294 from 318 and we're left with 24.
Bring next digit (6) of the dividend behind the 24 and repeat the process: 246 / 42

On to step 5:
42 can be fit into 246 5 times, resulting in a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 1375.0
If we take 210 away from 246, we end up with 36.
Fetch the next digit (7) from the dividend, attach it to 36 and continue: 367 / 42

Advancing to step 6:
The number 42 fits into 367 8 times, leaving a remainder of 31.
The next digit of our result is 8. 
Result so far: 13758.0
Subtract 336 from 367 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
The number 42 fits into 310 7 times, leaving a remainder of 16.
The next digit of our result is 7. 
Result so far: 13758.7
Subtracting 294 from 310 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
160 divided by 42 is 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 13758.73
The remainder is 34 after subtracting 126 from 160.
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 9:
340 divided by 42 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 13758.738
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
40 divided by 42 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 13758.738
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
The number 42 fits into 400 9 times, leaving a remainder of 22.
The next digit of our result is 9. 
Result so far: 13758.73809
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
When dividing 220 by 42, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 13758.738095
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
42 can be fit into 100 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 13758.7380952
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
If we divide 160 by 42, we get 3 and a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 13758.73809523
Subtract 126 from 160 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 13758.73809523 and a remainder of 3.4e-08.