We look at the division of 575678 by 42 
We want to figure out the number of times 575678 can be divided by 42.

Let's proceed to step 1:
If we divide 5 by 42, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 42

Going ahead to step 2:
When dividing 57 by 42, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 15 after subtracting 42 from 57.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 42

Advancing to step 3:
If we divide 155 by 42, we get 3 and a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 126 away from 155, we end up with 29.
Grab the next digit (6) from the dividend, add it to 29, then carry on: 296 / 42

Advancing to step 4:
42 can be fit into 296 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 137.0
If we subtract 294 from 296, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 42

Going ahead to step 5:
42 goes into 27 0 times with a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 1370.0
If we subtract 0 from 27, we get 27.
Append the next digit (8) from the dividend to 27 and continue with: 278 / 42

Going ahead to step 6:
When dividing 278 by 42, we get 6 with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 13706.0
If we take 252 away from 278, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
When dividing 260 by 42, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 13706.6
Deduct 252 from 260 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
80 divided by 42 is 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 13706.61
Subtracting 42 from 80 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
When dividing 380 by 42, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 13706.619
If we subtract 378 from 380, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
When dividing 20 by 42, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 13706.619
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 11:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 13706.61904
If we subtract 168 from 200, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 12:
When dividing 320 by 42, we get 7 with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 13706.619047
Subtract 294 from 320 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 13:
42 can be fit into 260 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 13706.6190476
If we subtract 252 from 260, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
If we divide 80 by 42, we get 1 and a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 13706.61904761
If we take 42 away from 80, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 13706.61904761 with a remainder of 3.8e-08.